Eliashberg, Y. 1946
Overview
Works:  27 works in 98 publications in 2 languages and 1,733 library holdings 

Genres:  Conference proceedings 
Roles:  Author, Editor, Thesis advisor 
Classifications:  QA447, 516.36 
Publication Timeline
.
Most widely held works by
Y Eliashberg
Different faces of geometry
by
S. K Donaldson(
)
12 editions published in 2004 in English and held by 350 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 Khler 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. Ozsvth (USA) and Z. Szab (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, Ozsvth and Szab). 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 Khler 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
12 editions published in 2004 in English and held by 350 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 Khler 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. Ozsvth (USA) and Z. Szab (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, Ozsvth and Szab). 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 Khler 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
Confoliations
by
Y Eliashberg(
Book
)
11 editions published between 1997 and 1998 in English and held by 238 WorldCat member libraries worldwide
11 editions published between 1997 and 1998 in English and held by 238 WorldCat member libraries worldwide
Symplectic geometry and topology
by
Y Eliashberg(
Book
)
13 editions published between 1999 and 2008 in English and held by 238 WorldCat member libraries worldwide
13 editions published between 1999 and 2008 in English and held by 238 WorldCat member libraries worldwide
Introduction to the hprinciple
by
Y Eliashberg(
Book
)
8 editions published in 2002 in English and held by 229 WorldCat member libraries worldwide
8 editions published in 2002 in English and held by 229 WorldCat member libraries worldwide
From Stein to Weinstein and back : symplectic geometry of affine complex manifolds
by
Kai Cieliebak(
Book
)
9 editions published in 2012 in English and held by 203 WorldCat member libraries worldwide
9 editions published in 2012 in English and held by 203 WorldCat member libraries worldwide
Northern California symplectic geometry seminar
by Northern California Symplectic Geometry Seminar(
Book
)
10 editions published in 1999 in English and held by 183 WorldCat member libraries worldwide
10 editions published in 1999 in English and held by 183 WorldCat member libraries worldwide
Symplectic and contact topology : interactions and perspectives
(
Book
)
5 editions published in 2003 in English and held by 135 WorldCat member libraries worldwide
5 editions published in 2003 in English and held by 135 WorldCat member libraries worldwide
Geometries in interaction : GAFA special issue in honor of Mikhail Gromov
by
Y Eliashberg(
Book
)
10 editions published between 1995 and 2003 in English and held by 90 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
10 editions published between 1995 and 2003 in English and held by 90 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
(
Book
)
1 edition published in 2014 in English and held by 47 WorldCat member libraries worldwide
1 edition published in 2014 in English and held by 47 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
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
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
Symplectic topology and lowdimensional 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
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
[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
Symplectic topology and theory of several complex variables
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
Moduli spaces of pseudoholomorphic disks and floer theory of cleanly intersecting immersed lagrangians
by Yin Kwan Chan(
)
1 edition published in 2010 in English and held by 1 WorldCat member library worldwide
In this thesis we investigate moduli spaces of pseudoholomorphic disks with Lagrangian boundary conditions, in which the Lagrangians are immersed with clean selfintersections. We then discuss the compactification of these moduli spaces, and show that under specific assumptions, the moduli spaces can be oriented. Finally, we use these moduli spaces to construct and compute Lagrangian Floer cohomology for sphere and orientation covers of the real projective space embedded as a Lagrangian submanifold of the complex projective space
1 edition published in 2010 in English and held by 1 WorldCat member library worldwide
In this thesis we investigate moduli spaces of pseudoholomorphic disks with Lagrangian boundary conditions, in which the Lagrangians are immersed with clean selfintersections. We then discuss the compactification of these moduli spaces, and show that under specific assumptions, the moduli spaces can be oriented. Finally, we use these moduli spaces to construct and compute Lagrangian Floer cohomology for sphere and orientation covers of the real projective space embedded as a Lagrangian submanifold of the complex projective space
Symplectic topology and Morse theory
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
Orientability of moduli spaces and open GromovWitten invariants
by Penka Vasileva Georgieva(
)
1 edition published in 2011 in English and held by 1 WorldCat member library worldwide
We show that the local system of orientations on the moduli space of Jholomorphic maps from a bordered Riemann surface is isomorphic to the pullback of a local system defined on the product of the Lagrangian and its free loop space. The latter is defined using only the first and second StiefelWhitney classes of the Lagrangian. In the presence of an antisymplectic involution, whose fixed locus is a relatively spin Lagrangian, we define open GromovWitten type invariants in genus zero
1 edition published in 2011 in English and held by 1 WorldCat member library worldwide
We show that the local system of orientations on the moduli space of Jholomorphic maps from a bordered Riemann surface is isomorphic to the pullback of a local system defined on the product of the Lagrangian and its free loop space. The latter is defined using only the first and second StiefelWhitney classes of the Lagrangian. In the presence of an antisymplectic involution, whose fixed locus is a relatively spin Lagrangian, we define open GromovWitten type invariants in genus zero
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Related Identities
 Gromov, Mikhael 1943 Honoree
 Donaldson, S. K. Author
 Mishachev, N. (Nikolai M.) 1952
 Traynor, Lisa (Lisa M.) 1964 Editor
 Thurston, William P. 19462012
 Cieliebak, Kai 1966 Author
 Lalonde, François Editor
 Khesin, Boris A. Editor
 Mathematical Sciences Research Institute (Berkeley, Calif.)
 Maeda, Yoshiaki 1948
Useful Links
Associated Subjects
Differentiable manifolds Differential equations, Partial Differential equationsNumerical solutions Differential topology Foliations (Mathematics) Functional analysis Geometry Geometry, Differential Global analysis (Mathematics) Jews, Polish Jews, Russian Mathematical analysis Mathematics Noncommutative differential geometry Poisson manifolds Poland Soviet Union Stein manifolds Symplectic and contact topology Symplectic geometry Symplectic groups Symplectic manifolds Threefolds (Algebraic geometry) Threemanifolds (Topology) Topology
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
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