Eliashberg, Y. 1946
Overview
Works:  42 works in 142 publications in 1 language and 2,263 library holdings 

Genres:  Conference papers and proceedings 
Roles:  Author, Editor, Thesis advisor, Other 
Publication Timeline
.
Most widely held works by
Y Eliashberg
Different faces of geometry by
S. K Donaldson(
)
16 editions published in 2004 in English and held by 429 WorldCat member libraries worldwide
Different Faces of Geometry  edited by the world renowned geometers S. Donaldson, Ya. Eliashberg, and M. Gromov  presents the current state, new results, original ideas and open questions from the following important topics in modern geometry: Amoebas and Tropical Geometry Convex Geometry and Asymptotic Geometric Analysis Differential Topology of 4Manifolds 3Dimensional Contact Geometry Floer Homology and LowDimensional Topology Kähler Geometry Lagrangian and Special Lagrangian Submanifolds Refined SeibergWitten Invariants. These apparently diverse topics have a common feature in that they are all areas of exciting current activity. The Editors have attracted an impressive array of leading specialists to author chapters for this volume: G. Mikhalkin (USACanadaRussia), V.D. Milman (Israel) and A.A. Giannopoulos (Greece), C. LeBrun (USA), Ko Honda (USA), P. Ozsváth (USA) and Z. Szabó (USA), C. Simpson (France), D. Joyce (UK) and P. Seidel (USA), and S. Bauer (Germany). "One can distinguish various themes running through the different contributions. There is some emphasis on invariants defined by elliptic equations and their applications in lowdimensional topology, symplectic and contact geometry (Bauer, Seidel, Ozsváth and Szabó). These ideas enter, more tangentially, in the articles of Joyce, Honda and LeBrun. Here and elsewhere, as well as explaining the rapid advances that have been made, the articles convey a wonderful sense of the vast areas lying beyond our current understanding. Simpson's article emphasizes the need for interesting new constructions (in that case of Kähler and algebraic manifolds), a point which is also made by Bauer in the context of 4manifolds and the "11/8 conjecture". LeBrun's article gives another perspective on 4manifold theory, via Riemannian geometry, and the challenging open questions involving the geometry of even "wellknown" 4manifolds. There are also striking contrasts between the articles. The authors have taken different approaches: for example, the thoughtful essay of Simpson, the new research results of LeBrun and the thorough expositions with homework problems of Honda. One can also ponder the differences in the style of mathematics. In the articles of Honda, Giannopoulos and Milman, and Mikhalkin, the "geometry" is present in a very vivid and tangible way; combining respectively with topology, analysis and algebra. The papers of Bauer and Seidel, on the other hand, makes the point that algebraic and algebrotopological abstraction (triangulated categories, spectra) can play an important role in very unexpected ways in concrete geometric problems."The Preface by the Editors
16 editions published in 2004 in English and held by 429 WorldCat member libraries worldwide
Different Faces of Geometry  edited by the world renowned geometers S. Donaldson, Ya. Eliashberg, and M. Gromov  presents the current state, new results, original ideas and open questions from the following important topics in modern geometry: Amoebas and Tropical Geometry Convex Geometry and Asymptotic Geometric Analysis Differential Topology of 4Manifolds 3Dimensional Contact Geometry Floer Homology and LowDimensional Topology Kähler Geometry Lagrangian and Special Lagrangian Submanifolds Refined SeibergWitten Invariants. These apparently diverse topics have a common feature in that they are all areas of exciting current activity. The Editors have attracted an impressive array of leading specialists to author chapters for this volume: G. Mikhalkin (USACanadaRussia), V.D. Milman (Israel) and A.A. Giannopoulos (Greece), C. LeBrun (USA), Ko Honda (USA), P. Ozsváth (USA) and Z. Szabó (USA), C. Simpson (France), D. Joyce (UK) and P. Seidel (USA), and S. Bauer (Germany). "One can distinguish various themes running through the different contributions. There is some emphasis on invariants defined by elliptic equations and their applications in lowdimensional topology, symplectic and contact geometry (Bauer, Seidel, Ozsváth and Szabó). These ideas enter, more tangentially, in the articles of Joyce, Honda and LeBrun. Here and elsewhere, as well as explaining the rapid advances that have been made, the articles convey a wonderful sense of the vast areas lying beyond our current understanding. Simpson's article emphasizes the need for interesting new constructions (in that case of Kähler and algebraic manifolds), a point which is also made by Bauer in the context of 4manifolds and the "11/8 conjecture". LeBrun's article gives another perspective on 4manifold theory, via Riemannian geometry, and the challenging open questions involving the geometry of even "wellknown" 4manifolds. There are also striking contrasts between the articles. The authors have taken different approaches: for example, the thoughtful essay of Simpson, the new research results of LeBrun and the thorough expositions with homework problems of Honda. One can also ponder the differences in the style of mathematics. In the articles of Honda, Giannopoulos and Milman, and Mikhalkin, the "geometry" is present in a very vivid and tangible way; combining respectively with topology, analysis and algebra. The papers of Bauer and Seidel, on the other hand, makes the point that algebraic and algebrotopological abstraction (triangulated categories, spectra) can play an important role in very unexpected ways in concrete geometric problems."The Preface by the Editors
Introduction to the hprinciple by
Y Eliashberg(
Book
)
15 editions published between 2002 and 2017 in English and held by 297 WorldCat member libraries worldwide
In differential geometry and topology one often deals with systems of partial differential equations, as well as partial differential inequalities, that have infinitely many solutions whatever boundary conditions are imposed. It was discovered in the fifties that the solvability of differential relations (i.e. equations and inequalities) of this kind can often be reduced to a problem of a purely homotopytheoretic nature. One says in this case that the corresponding differential relation satisfies the $h$principle. Two famous examples of the $h$principle, the NashKuiper $C 1$isometric embedding theory in Riemannian geometry and the SmaleHirsch immersion theory in differential topology, were later transformed by Gromov into powerful general methods for establishing the $h$principle. The authors cover two main methods for proving the $h$principle: holonomic approximation and convex integration. The reader will find that, with a few notable exceptions, most instances of the $h$principle can be treated by the methods considered here. A special emphasis in the book is made on applications to symplectic and contact geometry. Gromov's famous book ``Partial Differential Relations'', which is devoted to the same subject, is an encyclopedia of the $h$principle, written for experts, while the present book is the first broadly accessible exposition of the theory and its applications. The book would be an excellent text for a graduate course on geometric methods for solving partial differential equations and inequalities. Geometers, topologists and analysts will also find much value in this very readable exposition of an important and remarkable topic
15 editions published between 2002 and 2017 in English and held by 297 WorldCat member libraries worldwide
In differential geometry and topology one often deals with systems of partial differential equations, as well as partial differential inequalities, that have infinitely many solutions whatever boundary conditions are imposed. It was discovered in the fifties that the solvability of differential relations (i.e. equations and inequalities) of this kind can often be reduced to a problem of a purely homotopytheoretic nature. One says in this case that the corresponding differential relation satisfies the $h$principle. Two famous examples of the $h$principle, the NashKuiper $C 1$isometric embedding theory in Riemannian geometry and the SmaleHirsch immersion theory in differential topology, were later transformed by Gromov into powerful general methods for establishing the $h$principle. The authors cover two main methods for proving the $h$principle: holonomic approximation and convex integration. The reader will find that, with a few notable exceptions, most instances of the $h$principle can be treated by the methods considered here. A special emphasis in the book is made on applications to symplectic and contact geometry. Gromov's famous book ``Partial Differential Relations'', which is devoted to the same subject, is an encyclopedia of the $h$principle, written for experts, while the present book is the first broadly accessible exposition of the theory and its applications. The book would be an excellent text for a graduate course on geometric methods for solving partial differential equations and inequalities. Geometers, topologists and analysts will also find much value in this very readable exposition of an important and remarkable topic
From Stein to Weinstein and back : symplectic geometry of affine complex manifolds by
Kai Cieliebak(
Book
)
10 editions published in 2012 in English and held by 273 WorldCat member libraries worldwide
This book is devoted to the interplay between complex and symplectic geometry in affine complex manifolds. Affine complex (a.k.a. Stein) manifolds have canonically built into them symplectic geometry which is responsible for many phenomena in complex geometry and analysis. The goal of the book is the exploration of this symplectic geometry (the road from "Stein to Weinstein") and its applications in the complex geometric world of Stein manifolds (the road "back"). This is the first book which systematically explores this connection, thus providing a new approach to the classical subject of Stein manifolds. It also contains the first detailed investigation of Weinstein manifolds, the symplectic counterparts of Stein manifolds, which play an important role in symplectic and contact topology. Assuming only a general background from differential topology, the book provides introductions to the various techniques from the theory of functions of several complex variables, symplectic geometry, hprinciples, and Morse theory that enter the proofs of the main results. The main results of the book are original results of the authors, and several of these results appear here for the first time. The book will be beneficial for all students and mathematicians interested in geometric aspects of complex analysis, symplectic and contact topology, and the interconnections between these subjects
10 editions published in 2012 in English and held by 273 WorldCat member libraries worldwide
This book is devoted to the interplay between complex and symplectic geometry in affine complex manifolds. Affine complex (a.k.a. Stein) manifolds have canonically built into them symplectic geometry which is responsible for many phenomena in complex geometry and analysis. The goal of the book is the exploration of this symplectic geometry (the road from "Stein to Weinstein") and its applications in the complex geometric world of Stein manifolds (the road "back"). This is the first book which systematically explores this connection, thus providing a new approach to the classical subject of Stein manifolds. It also contains the first detailed investigation of Weinstein manifolds, the symplectic counterparts of Stein manifolds, which play an important role in symplectic and contact topology. Assuming only a general background from differential topology, the book provides introductions to the various techniques from the theory of functions of several complex variables, symplectic geometry, hprinciples, and Morse theory that enter the proofs of the main results. The main results of the book are original results of the authors, and several of these results appear here for the first time. The book will be beneficial for all students and mathematicians interested in geometric aspects of complex analysis, symplectic and contact topology, and the interconnections between these subjects
Symplectic geometry and topology(
Book
)
1 edition published in 1999 in English and held by 208 WorldCat member libraries worldwide
1 edition published in 1999 in English and held by 208 WorldCat member libraries worldwide
Confoliations by
Y Eliashberg(
Book
)
1 edition published in 1998 in English and held by 194 WorldCat member libraries worldwide
1 edition published in 1998 in English and held by 194 WorldCat member libraries worldwide
Symplectic and contact topology : interactions and perspectives by
Y Eliashberg(
Book
)
10 editions published between 2003 and 2012 in English and Undetermined and held by 174 WorldCat member libraries worldwide
The papers presented in this volume are written by participants at the "Symplectic and Contact Topology, Quantum Cohomology, and Symplectic Field Theory" symposium, which was part of a semesterlong joint venture of The Fields Institute in Toronto and the Centre de Recherches Mathématiques in Montreal. The twelve papers compiled here include the latest developments on Symplectic Topology, the interaction between symplectic and other geometric structures, Differential Geometry and Topology, Homological Mirror Symmetry, and Noncommutative Symplectic Geometry. These indepth articles make this b
10 editions published between 2003 and 2012 in English and Undetermined and held by 174 WorldCat member libraries worldwide
The papers presented in this volume are written by participants at the "Symplectic and Contact Topology, Quantum Cohomology, and Symplectic Field Theory" symposium, which was part of a semesterlong joint venture of The Fields Institute in Toronto and the Centre de Recherches Mathématiques in Montreal. The twelve papers compiled here include the latest developments on Symplectic Topology, the interaction between symplectic and other geometric structures, Differential Geometry and Topology, Homological Mirror Symmetry, and Noncommutative Symplectic Geometry. These indepth articles make this b
Northern California symplectic geometry seminar(
Book
)
3 editions published in 1999 in English and held by 167 WorldCat member libraries worldwide
This seminar was established to encourage ongoing interaction between geometers at Stanford University and the University of California (Berkeley, Davis, and Santa Cruz). Over the years, lectures presented have provided a panorama of developments in symplectic and contact geometry and topology, Poisson geometry, quantization theory, and applications. This volume includes papers by several of the distinguished seminar participants. The diversity of the topics from the seminar are reflected in the informative presentations. A wide range of topics are presented in the book, including symplectic t
3 editions published in 1999 in English and held by 167 WorldCat member libraries worldwide
This seminar was established to encourage ongoing interaction between geometers at Stanford University and the University of California (Berkeley, Davis, and Santa Cruz). Over the years, lectures presented have provided a panorama of developments in symplectic and contact geometry and topology, Poisson geometry, quantization theory, and applications. This volume includes papers by several of the distinguished seminar participants. The diversity of the topics from the seminar are reflected in the informative presentations. A wide range of topics are presented in the book, including symplectic t
Geometries in interaction : GAFA special issue in honor of Mikhail Gromov by
Y Eliashberg(
Book
)
12 editions published between 1995 and 2003 in English and held by 143 WorldCat member libraries worldwide
Reprint from GAFA, Vol. 5 (1995), No. 2. Enlarged by a short biography of Mikhail Gromov and a list of publications. In the last decades of the XX century tremendous progress has been achieved in geometry. The discovery of deep interrelations between geometry and other fields including algebra, analysis and topology has pushed it into the mainstream of modern mathematics. This Special Issue of Geometric And Functional Analysis (GAFA) in honour of Mikhail Gromov contains 14 papers which give a wide panorama of recent fundamental developments in modern geometry and its related subjects. CONTRIBUTORS: J. Bourgain, J. Cheeger, J. Cogdell, A. Connes, Y. Eliashberg, H. Hofer, F. Lalonde, W. Luo, G. Margulis, D. McDuff, H. Moscovici, G. Mostow, S. Novikov, G. Perelman, I. PiatetskiShapiro, G. Pisier, X. Rong, Z. Rudnick, D. Salamon, P. Sarnak, R. Schoen, M. Shubin, K. Wysocki, and E. Zehnder. The book is a collection of important results and an enduring source of new ideas for researchers and students in a broad spectrum of directions related to all aspects of Geometry and its applications to Functional Analysis, PDE, Analytic Number Theory and Physics
12 editions published between 1995 and 2003 in English and held by 143 WorldCat member libraries worldwide
Reprint from GAFA, Vol. 5 (1995), No. 2. Enlarged by a short biography of Mikhail Gromov and a list of publications. In the last decades of the XX century tremendous progress has been achieved in geometry. The discovery of deep interrelations between geometry and other fields including algebra, analysis and topology has pushed it into the mainstream of modern mathematics. This Special Issue of Geometric And Functional Analysis (GAFA) in honour of Mikhail Gromov contains 14 papers which give a wide panorama of recent fundamental developments in modern geometry and its related subjects. CONTRIBUTORS: J. Bourgain, J. Cheeger, J. Cogdell, A. Connes, Y. Eliashberg, H. Hofer, F. Lalonde, W. Luo, G. Margulis, D. McDuff, H. Moscovici, G. Mostow, S. Novikov, G. Perelman, I. PiatetskiShapiro, G. Pisier, X. Rong, Z. Rudnick, D. Salamon, P. Sarnak, R. Schoen, M. Shubin, K. Wysocki, and E. Zehnder. The book is a collection of important results and an enduring source of new ideas for researchers and students in a broad spectrum of directions related to all aspects of Geometry and its applications to Functional Analysis, PDE, Analytic Number Theory and Physics
Symplectic, Poisson, and noncommutative geometry by Algebra and Topology (Conference) Symplectic and Poisson Geometry in Interaction with Analysis(
Book
)
5 editions published in 2014 in English and held by 142 WorldCat member libraries worldwide
5 editions published in 2014 in English and held by 142 WorldCat member libraries worldwide
Confoliations by
Y Eliashberg(
Book
)
18 editions published between 1997 and 1998 in English and held by 94 WorldCat member libraries worldwide
This book presents the first steps of a theory of confoliations designed to link geometry and topology of threedimensional contact structures with the geometry and topology of codimensionone foliations on threedimensional manifolds. Developing almost independently, these theories at first glance belonged to two different worlds: The theory of foliations is part of topology and dynamical systems, while contact geometry is the odddimensional ""brother"" of symplectic geometry. However, both theories have developed a number of striking similarities. Confoliationswhich interpolate between co
18 editions published between 1997 and 1998 in English and held by 94 WorldCat member libraries worldwide
This book presents the first steps of a theory of confoliations designed to link geometry and topology of threedimensional contact structures with the geometry and topology of codimensionone foliations on threedimensional manifolds. Developing almost independently, these theories at first glance belonged to two different worlds: The theory of foliations is part of topology and dynamical systems, while contact geometry is the odddimensional ""brother"" of symplectic geometry. However, both theories have developed a number of striking similarities. Confoliationswhich interpolate between co
Symplectic geometry and topology by
Y Eliashberg(
Book
)
18 editions published between 1999 and 2008 in English and Undetermined and held by 60 WorldCat member libraries worldwide
Symplectic geometry has its origins as a geometric language for classical mechanics. But it has recently exploded into an independent field interconnected with many other areas of mathematics and physics. The goal of the IAS/Park City Mathematics Institute Graduate Summer School on Symplectic Geometry and Topology was to give an intensive introduction to these exciting areas of current research. Included in this proceedings are lecture notes from the following courses: Introduction to Symplectic Topology by D. McDuff; Holomorphic Curves and Dynamics in Dimension Three by H. Hofer; An Introduct
18 editions published between 1999 and 2008 in English and Undetermined and held by 60 WorldCat member libraries worldwide
Symplectic geometry has its origins as a geometric language for classical mechanics. But it has recently exploded into an independent field interconnected with many other areas of mathematics and physics. The goal of the IAS/Park City Mathematics Institute Graduate Summer School on Symplectic Geometry and Topology was to give an intensive introduction to these exciting areas of current research. Included in this proceedings are lecture notes from the following courses: Introduction to Symplectic Topology by D. McDuff; Holomorphic Curves and Dynamics in Dimension Three by H. Hofer; An Introduct
Northern California symplectic geometry seminar(
Book
)
2 editions published in 1999 in English and held by 22 WorldCat member libraries worldwide
2 editions published in 1999 in English and held by 22 WorldCat member libraries worldwide
Northern California Symplectic Geometry Seminar by Northern California Symplectic Geometry Seminar(
Book
)
1 edition published in 1999 in English and held by 18 WorldCat member libraries worldwide
1 edition published in 1999 in English and held by 18 WorldCat member libraries worldwide
Geometry, topology, and dynamics by
Augustin Banyaga(
)
1 edition published in 1998 in English and held by 10 WorldCat member libraries worldwide
This volume contains the proceedings from the workshop on "Geometry, Topology and Dynamics" held at CRM at the University of Montreal. The event took place at a crucial time with respect to symplectic developments. During the previous year, Seiberg and Witten had just introduced the famous gauge equations. Taubes then extracted new invariants that were shown to be equivalent in some sense to a particular form of Gromov invariants for symplectic manifolds in dimension 4. With Gromov's deformation theory, this constitutes an important advance in symplectic geometry by furnishing existence criter
1 edition published in 1998 in English and held by 10 WorldCat member libraries worldwide
This volume contains the proceedings from the workshop on "Geometry, Topology and Dynamics" held at CRM at the University of Montreal. The event took place at a crucial time with respect to symplectic developments. During the previous year, Seiberg and Witten had just introduced the famous gauge equations. Taubes then extracted new invariants that were shown to be equivalent in some sense to a particular form of Gromov invariants for symplectic manifolds in dimension 4. With Gromov's deformation theory, this constitutes an important advance in symplectic geometry by furnishing existence criter
Northern California symplectic geometry seminar(
Book
)
1 edition published in 1999 in English and held by 3 WorldCat member libraries worldwide
1 edition published in 1999 in English and held by 3 WorldCat member libraries worldwide
Northern California Symplectic Geometry Seminar(
Book
)
1 edition published in 1999 in English and held by 3 WorldCat member libraries worldwide
1 edition published in 1999 in English and held by 3 WorldCat member libraries worldwide
Topological characterization of Stein manifolds of dimension>2 by
Y Eliashberg(
Book
)
1 edition published in 1989 in English and held by 2 WorldCat member libraries worldwide
1 edition published in 1989 in English and held by 2 WorldCat member libraries worldwide
Northern California Sympletic Seminar(
Book
)
2 editions published in 1999 in English and held by 2 WorldCat member libraries worldwide
2 editions published in 1999 in English and held by 2 WorldCat member libraries worldwide
[Symplectic geometry] by Northern California Symplectic Geometry Seminar(
Book
)
1 edition published in 1999 in English and held by 1 WorldCat member library worldwide
1 edition published in 1999 in English and held by 1 WorldCat member library worldwide
Three examples from symplectic topology by
Y Eliashberg(
Visual
)
1 edition published in 2002 in English and held by 1 WorldCat member library worldwide
1 edition published in 2002 in English and held by 1 WorldCat member library worldwide
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Related Identities
 Gromov, Mikhael 1943 Honoree Dedicatee Editor
 Donaldson, S. K. Author Editor
 Mishachev, N. (Nikolai M.) 1952
 Cieliebak, Kai 1966 Author
 Thurston, William P. 19462012
 Traynor, Lisa (Lisa M.) 1964 Editor
 Lalonde, François Editor
 Khesin, Boris A. Editor
 Rațiu, Tudor S. Editor
 Fuks, D. B. Editor
Useful Links
Associated Subjects
Differentiable dynamical systems Differentiable manifolds Differential equations, Partial Differential equationsNumerical solutions Differential topology Engineering mathematics Foliations (Mathematics) Functional analysis Geometry Geometry, Differential Global analysis (Mathematics) Mathematical analysis Mathematics Noncommutative differential geometry Poisson manifolds Stein manifolds Symplectic and contact topology Symplectic geometry Symplectic groups Symplectic manifolds Threefolds (Algebraic geometry) Threemanifolds (Topology) Topology
Covers
Alternative Names
Eliasberg, Jakov M. 1946
Ēlîʾašberg, Y. 1946
Eliasberg, Y. M. 1946
Eli'asberg, Ya'aqov 1946
Eliasberg, Yaqoov 1946
Eliasberg, Yaqoov M. 1946
Eliashberg, Y.
Eliashberg, Y. 1946
Eliashberg, Ya.
Eliashberg, Ya 1946
Eliashberg, Yakov.
Eliashberg, Yakov 1946
Eliashberg, Yakov M.
Eliashberg, Yakov M. 1946
Eliashberg, Yasha 1946
Jakov Eliasjberg
Jakow Matwejewitsch Eliaschberg russischer Mathematiker
Yakov Eliashberg matemático ruso
Yakov Eliashberg matematico russo
Yakov Eliashberg mathématicien russe
Yakov Eliashberg Russisch wiskundige
Элиашберг, Яков Матвеевич
ياكوف إلياشبرغ رياضياتي روسي
یاکوف الیاشبرق
یاکوو الیاشبرگ
ヤコフ・エリアシュバーグ
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