Buchstaber, V. M.
Overview
Works:  47 works in 127 publications in 3 languages and 1,334 library holdings 

Genres:  Conference papers and proceedings 
Roles:  Editor, Author, Honoree, Other 
Classifications:  QA611, 513.83 
Publication Timeline
.
Most widely held works by
V. M Buchstaber
Solitons, geometry, and topology : on the crossroad(
)
11 editions published in 1997 in English and held by 220 WorldCat member libraries worldwide
11 editions published in 1997 in English and held by 220 WorldCat member libraries worldwide
Torus actions and their applications in topology and combinatorics by
V. M Buchstaber(
Book
)
9 editions published in 2002 in English and held by 220 WorldCat member libraries worldwide
9 editions published in 2002 in English and held by 220 WorldCat member libraries worldwide
Geometry, topology, and mathematical physics : S.P. Novikov's seminar: 20022003 by S.P. Novikov Seminar(
)
7 editions published in 2004 in English and held by 192 WorldCat member libraries worldwide
The second half of the 20th century and its conclusion : crisis in the physics and mathematics community in Russia and in the West  Interview with Sergey P. Novikov  The wfunction of the KdV hierarchy  On the zeta functions of a meromorphic germ in two variables  On almost duality for Frobenius manifolds  Finitely presented semigroups in knot theory. Oriented case  Topological robotics : subspace arrangements and collision free motion planning  The initialboundary value problem on the interval for the nonlinear Schrödinger equation. The algebrogeometric approach. I  On odd Laplace operators. II  From 2D Toda hierarchy to conformal maps for domains of the Riemann sphere Integrable chains on algebraic curves  Fifteen years of KAM for PDE  Graded filiform Lie algebras and symplectic nilmanifolds Adiabatic limit in the SeibergWitten equations  Affine KricheverNovikov algebras, their representations and applications  Tame integrals of motion and ominimal structures
7 editions published in 2004 in English and held by 192 WorldCat member libraries worldwide
The second half of the 20th century and its conclusion : crisis in the physics and mathematics community in Russia and in the West  Interview with Sergey P. Novikov  The wfunction of the KdV hierarchy  On the zeta functions of a meromorphic germ in two variables  On almost duality for Frobenius manifolds  Finitely presented semigroups in knot theory. Oriented case  Topological robotics : subspace arrangements and collision free motion planning  The initialboundary value problem on the interval for the nonlinear Schrödinger equation. The algebrogeometric approach. I  On odd Laplace operators. II  From 2D Toda hierarchy to conformal maps for domains of the Riemann sphere Integrable chains on algebraic curves  Fifteen years of KAM for PDE  Graded filiform Lie algebras and symplectic nilmanifolds Adiabatic limit in the SeibergWitten equations  Affine KricheverNovikov algebras, their representations and applications  Tame integrals of motion and ominimal structures
Geometry, topology, and mathematical physics : S.P. Novikov's seminar, 20062007 by
S. P Novikov(
Book
)
8 editions published in 2008 in English and held by 183 WorldCat member libraries worldwide
"This volume contains a selection of papers based on presentations given in 20062007 at the S.P. Novikov Seminar at the Steklov Mathematical Institute in Moscow. The articles address topics in geometry, topology, and mathematical physics. The volume is suitable for graduate students and researchers interested in the corresponding areas of mathematics and physics."Jacket
8 editions published in 2008 in English and held by 183 WorldCat member libraries worldwide
"This volume contains a selection of papers based on presentations given in 20062007 at the S.P. Novikov Seminar at the Steklov Mathematical Institute in Moscow. The articles address topics in geometry, topology, and mathematical physics. The volume is suitable for graduate students and researchers interested in the corresponding areas of mathematics and physics."Jacket
Toric topology by
V. M Buchstaber(
Book
)
11 editions published in 2015 in English and Undetermined and held by 180 WorldCat member libraries worldwide
"This book is about toric topology, a new area of mathematics that emerged at the end of the 1990s on the border of equivariant topology, algebraic and symplectic geometry, combinatorics, and commutative algebra. It has quickly grown into a very active area with many links to other areas of mathematics, and continues to attract experts from different fields. The key players in toric topology are momentangle manifolds, a class of manifolds with torus actions defined in combinatorial terms. Construction of momentangle manifolds relates to combinatorial geometry and algebraic geometry of toric varieties via the notion of a quasitoric manifold. Discovery of remarkable geometric structures on momentangle manifolds led to important connections with classical and modern areas of symplectic, Lagrangian, and nonKaehler complex geometry. A related categorical construction of momentangle complexes and polyhedral products provides for a universal framework for many fundamental constructions of homotopical topology. The study of polyhedral products is now evolving into a separate subject of homotopy theory. A new perspective on torus actions has also contributed to the development of classical areas of algebraic topology, such as complex cobordism. This book includes many open problems and is addressed to experts interested in new ideas linking all the subjects involved, as well as to graduate students and young researchers ready to enter this beautiful new area"Back cover
11 editions published in 2015 in English and Undetermined and held by 180 WorldCat member libraries worldwide
"This book is about toric topology, a new area of mathematics that emerged at the end of the 1990s on the border of equivariant topology, algebraic and symplectic geometry, combinatorics, and commutative algebra. It has quickly grown into a very active area with many links to other areas of mathematics, and continues to attract experts from different fields. The key players in toric topology are momentangle manifolds, a class of manifolds with torus actions defined in combinatorial terms. Construction of momentangle manifolds relates to combinatorial geometry and algebraic geometry of toric varieties via the notion of a quasitoric manifold. Discovery of remarkable geometric structures on momentangle manifolds led to important connections with classical and modern areas of symplectic, Lagrangian, and nonKaehler complex geometry. A related categorical construction of momentangle complexes and polyhedral products provides for a universal framework for many fundamental constructions of homotopical topology. The study of polyhedral products is now evolving into a separate subject of homotopy theory. A new perspective on torus actions has also contributed to the development of classical areas of algebraic topology, such as complex cobordism. This book includes many open problems and is addressed to experts interested in new ideas linking all the subjects involved, as well as to graduate students and young researchers ready to enter this beautiful new area"Back cover
Topology, geometry, integrable systems, and mathematical physics : Novikov's seminar, 20122014 by S.P. Novikov Seminar(
Book
)
7 editions published in 2014 in English and held by 121 WorldCat member libraries worldwide
Articles in this collection are devoted to modern problems of topology, geometry, mathematical physics, and integrable systems, and they are based on talks given at the famous Novikov's seminar at the Steklov Institute of Mathematics in Moscow in 20122014. The articles cover many aspects of seemingly unrelated areas of modern mathematics and mathematical physics; they reflect the main scientific interests of the organizer of the seminar, Sergey Petrovich Novikov. The volume is suitable for graduate students and researchers interested in the corresponding areas of mathematics and physics
7 editions published in 2014 in English and held by 121 WorldCat member libraries worldwide
Articles in this collection are devoted to modern problems of topology, geometry, mathematical physics, and integrable systems, and they are based on talks given at the famous Novikov's seminar at the Steklov Institute of Mathematics in Moscow in 20122014. The articles cover many aspects of seemingly unrelated areas of modern mathematics and mathematical physics; they reflect the main scientific interests of the organizer of the seminar, Sergey Petrovich Novikov. The volume is suitable for graduate students and researchers interested in the corresponding areas of mathematics and physics
Geometry, topology, and mathematical physics collected papers dedicated to Academician Sergei Petrovich Novikov on the occasion
of his 70th birthday by
E. F Mishchenko(
Book
)
8 editions published between 2008 and 2009 in English and held by 31 WorldCat member libraries worldwide
8 editions published between 2008 and 2009 in English and held by 31 WorldCat member libraries worldwide
Geometry, topology, and mathematical physics collected papers dedicated to Academician Sergei Petrovich Novikov on the occasion
of his 70th birthday(
Book
)
2 editions published in 2009 in English and held by 10 WorldCat member libraries worldwide
2 editions published in 2009 in English and held by 10 WorldCat member libraries worldwide
Nelinejnaja dinamika : sbornik statej(
Book
)
2 editions published in 2005 in Russian and held by 7 WorldCat member libraries worldwide
This volume contains papers written by scientists from the Steklov Institute of Mathematics, Russian Academy of Sciences, within the program "Mathematical Methods in Nonlinear Dynamics" of the Presidium of the Russian Academy of Sciences and presents the results obtained in the following directions: geometrical methods of nonlinear dynamics and soliton theory, inverse monodromy problems and isomonodromic deformations, nonlinear dynamics of systems with irregular behavior of trajectories, and integrable models of quantum field theory. For scientists, postgraduates, and students who specialize in the fields of dynamical systems, topology, mathematical physics, and nonlinear problems of mechanics
2 editions published in 2005 in Russian and held by 7 WorldCat member libraries worldwide
This volume contains papers written by scientists from the Steklov Institute of Mathematics, Russian Academy of Sciences, within the program "Mathematical Methods in Nonlinear Dynamics" of the Presidium of the Russian Academy of Sciences and presents the results obtained in the following directions: geometrical methods of nonlinear dynamics and soliton theory, inverse monodromy problems and isomonodromic deformations, nonlinear dynamics of systems with irregular behavior of trajectories, and integrable models of quantum field theory. For scientists, postgraduates, and students who specialize in the fields of dynamical systems, topology, mathematical physics, and nonlinear problems of mechanics
Notes on cobordism theory by
Robert E Stong(
Book
)
2 editions published in 1973 in Russian and held by 7 WorldCat member libraries worldwide
These notes contain the first complete treatment of cobordism, a topic that has become increasingly important in the past ten years. The subject is fully developed and the latest theories are treated. Originally published in 1968. The Princeton Legacy Library uses the latest printondemand technology to again make available previously outofprint books from the distinguished backlist of Princeton University Press. These paperback editions preserve the original texts of these important books while presenting them in durable paperback editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905
2 editions published in 1973 in Russian and held by 7 WorldCat member libraries worldwide
These notes contain the first complete treatment of cobordism, a topic that has become increasingly important in the past ten years. The subject is fully developed and the latest theories are treated. Originally published in 1968. The Princeton Legacy Library uses the latest printondemand technology to again make available previously outofprint books from the distinguished backlist of Princeton University Press. These paperback editions preserve the original texts of these important books while presenting them in durable paperback editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905
Solitons, geometry, and topology : on the crossroads ; collected papers dedicated to the 60th birthday of academician Sergei
Petrovich Novikov by
V. M Bukhshtaber(
Book
)
2 editions published in 1999 in English and held by 6 WorldCat member libraries worldwide
2 editions published in 1999 in English and held by 6 WorldCat member libraries worldwide
Geometrija, topologija i matematičeskaja fizika : sbornik statej; k 70letiju so dnja roždenija Sergeja Petroviča Novikova(
Book
)
4 editions published between 2008 and 2009 in Russian and held by 6 WorldCat member libraries worldwide
This volume is the second part of a twovolume issue dedicated to the anniversary of Academician Sergei Petrovich Novikov. The papers presented in this volume focus on the problems of topology, geometry, theory of dynamical systems, and mathematical physics  fields of research in which Novikov earned worldwide reputation, opened new directions, and founded a large scientific school. The first part of the issue was published in 2008 in volume 263. The volume is addressed to scientists, postgraduates, and students who are interested in the problems of the abovelisted fields of science
4 editions published between 2008 and 2009 in Russian and held by 6 WorldCat member libraries worldwide
This volume is the second part of a twovolume issue dedicated to the anniversary of Academician Sergei Petrovich Novikov. The papers presented in this volume focus on the problems of topology, geometry, theory of dynamical systems, and mathematical physics  fields of research in which Novikov earned worldwide reputation, opened new directions, and founded a large scientific school. The first part of the issue was published in 2008 in volume 263. The volume is addressed to scientists, postgraduates, and students who are interested in the problems of the abovelisted fields of science
Solitony, geometrija, topologija  na perekrestkach : sbornik statej ; k 60letiju so dnja roždenija akademika Sergeja Petroviča
Novikova(
Book
)
2 editions published in 1999 in Russian and held by 5 WorldCat member libraries worldwide
2 editions published in 1999 in Russian and held by 5 WorldCat member libraries worldwide
Kleinian functions, hyperelliptic jacobians and applications ; Integrable systems with pairwise interactions and functional
equations by
V. M Buchstaber(
Book
)
2 editions published in 1997 in English and held by 5 WorldCat member libraries worldwide
2 editions published in 1997 in English and held by 5 WorldCat member libraries worldwide
Geometry, topology, and mathematical physics : collected papers dedicated to Academician Sergei Petrovich Novikov on the occasion
of his 70th birthday(
Book
)
in English and held by 5 WorldCat member libraries worldwide
in English and held by 5 WorldCat member libraries worldwide
Kategornyj podchodk izučeniju prostranstv s osobennostjami by
William Fulton(
Book
)
2 editions published in 1983 in Russian and held by 4 WorldCat member libraries worldwide
2 editions published in 1983 in Russian and held by 4 WorldCat member libraries worldwide
On a remarkable functional equation in the theory of generalised Dunkl operators and transformations of elliptic genera by
V. M Buchstaber(
Book
)
2 editions published in 1994 in German and English and held by 4 WorldCat member libraries worldwide
2 editions published in 1994 in German and English and held by 4 WorldCat member libraries worldwide
Ktheory by
Michael Francis Atiyah(
Book
)
2 editions published in 1967 in Russian and held by 3 WorldCat member libraries worldwide
2 editions published in 1967 in Russian and held by 3 WorldCat member libraries worldwide
Algebraic topology, convex polytopes, and related topics : collected papers dedicated to Victor Matveevich Buchstaber on the
occasion of his 70th birthday(
Book
)
2 editions published in 2014 in English and held by 3 WorldCat member libraries worldwide
2 editions published in 2014 in English and held by 3 WorldCat member libraries worldwide
Nonlinear dynamics : collected papers(
Book
)
1 edition published in 2005 in English and held by 2 WorldCat member libraries worldwide
1 edition published in 2005 in English and held by 2 WorldCat member libraries worldwide
more
fewer
Audience Level
0 

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Kids  General  Special 
Related Identities
 Novikov, S. P. (Sergeĭ Petrovich) Other Honoree Dedicatee Author Editor
 Krichever, I. M. Editor
 Panov, Taras E. 1975
 Matematicheskiĭ institut im. V.A. Steklova
 Sosinskiĭ, A. B. (Alekseĭ Bronislavovich) Translator
 Dubrovin, B. A. (Boris Anatolʹevich) Editor
 American Mathematical Society Publisher
 Stong, Robert E. Author
 Enolskii, V. Z.
 Fulton, William Author
Useful Links
Associated Subjects
Abelian groups Algebraic topology Algebraic varieties Buchstaber, V. M Chaotic behavior in systemsMathematical models Cobordism theory Combinatorial analysis Convex polytopes Differential topology Dynamics Geometry Geometry, Algebraic Geometry, Differential Hamiltonian systems Ktheory Mathematical physics Nonlinear theories Solitons Topological spaces Topology Toric varieties Torus (Geometry) Vector spaces
Alternative Names
Buchstaber, V. M.
Buchštaber, V. M. 1943
Buchstaber, Victor M.
Buchstaber, Victor M. 1943
Buchstaber Victor Matveevich 1943
Buchštaber, Viktor M. 1943
Buchštaber, Viktor Matveevič
Buchštaber, Viktor Matveevič. [t]
Buhštaber, V. M.
Bukhshtaber, Viktor Matveevich 1943
Viktor Buchstaber
Viktor Buchstaber Russian mathematician
Viktor Buchstaber Russisch wiskundige
Wiktor Matwejewitsch Buchstaber sowjetischer Mathematiker
Бухштабер, Виктор Матвеевич
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