Buchstaber, V. M.
Overview
Works:  101 works in 199 publications in 2 languages and 1,839 library holdings 

Genres:  Conference papers and proceedings 
Roles:  Editor, Author, Other, Translator, Honoree, Contributor 
Classifications:  QA3, 516 
Publication Timeline
.
Most widely held works by
V. M Buchstaber
Toric topology by
V. M Buchstaber(
Book
)
12 editions published in 2015 in English and Undetermined and held by 252 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
12 editions published in 2015 in English and Undetermined and held by 252 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
Solitons, geometry, and topology : on the crossroad(
Book
)
9 editions published in 1997 in English and held by 233 WorldCat member libraries worldwide
9 editions published in 1997 in English and held by 233 WorldCat member libraries worldwide
Geometry, topology, and mathematical physics : S.P. Novikov's seminar, 20062007 by
S. P Novikov(
Book
)
9 editions published in 2008 in English and held by 207 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
9 editions published in 2008 in English and held by 207 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
Recent developments in integrable systems and related topics of mathematical physics : KezenoiAm, Russia, 2016 by Conference of Mathematical Physics(
)
8 editions published in 2018 in English and held by 195 WorldCat member libraries worldwide
This volume, whose contributors include leading researchers in their field, covers a wide range of topics surrounding Integrable Systems, from theoretical developments to applications. Comprising a unique collection of research articles and surveys, the book aims to serve as a bridge between the various areas of Mathematics related to Integrable Systems and Mathematical Physics. Recommended for postgraduate students and early career researchers who aim to acquire knowledge in this area in preparation for further research, this book is also suitable for established researchers aiming to get up to speed with recent developments in the area, and may very well be used as a guide for further study
8 editions published in 2018 in English and held by 195 WorldCat member libraries worldwide
This volume, whose contributors include leading researchers in their field, covers a wide range of topics surrounding Integrable Systems, from theoretical developments to applications. Comprising a unique collection of research articles and surveys, the book aims to serve as a bridge between the various areas of Mathematics related to Integrable Systems and Mathematical Physics. Recommended for postgraduate students and early career researchers who aim to acquire knowledge in this area in preparation for further research, this book is also suitable for established researchers aiming to get up to speed with recent developments in the area, and may very well be used as a guide for further study
Torus actions and their applications in topology and combinatorics by
V. M Buchstaber(
Book
)
1 edition published in 2002 in English and held by 187 WorldCat member libraries worldwide
1 edition published in 2002 in English and held by 187 WorldCat member libraries worldwide
Topology, geometry, integrable systems, and mathematical physics : Novikov's seminar, 20122014 by
S.P. Novikov Seminar(
Book
)
8 editions published in 2014 in English and held by 156 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
8 editions published in 2014 in English and held by 156 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 : S.P. Novikov's seminar: 20022003 by S.P. Novikov Seminar(
Book
)
1 edition published in 2004 in English and held by 153 WorldCat member libraries worldwide
1 edition published in 2004 in English and held by 153 WorldCat member libraries worldwide
Torus actions and their applications in topology and combinatorics by
V. M Buchstaber(
)
11 editions published in 2002 in English and held by 69 WorldCat member libraries worldwide
The book presents the study of torus actions on topological spaces is presented as a bridge connecting combinatorial and convex geometry with commutative and homological algebra, algebraic geometry, and topology. This established link helps in understanding the geometry and topology of a space with torus action by studying the combinatorics of the space of orbits. Conversely, subtle properties of a combinatorial object can be realized by interpreting it as the orbit structure for a proper manifold or as a complex acted on by a torus. The latter can be a symplectic manifold with Hamiltonian torus action, a toric variety or manifold, a subspace arrangement complement, etc., while the combinatorial objects include simplicial and cubical complexes, polytopes, and arrangements. This approach also provides a natural topological interpretation in terms of torus actions of many constructions from commutative and homological algebra used in combinatorics. The exposition centers around the theory of momentangle complexes, providing an effective way to study invariants of triangulations by methods of equivariant topology. The book includes many new and wellknown open problems and would be suitable as a textbook. It will be useful for specialists both in topology and in combinatorics and will help to establish even tighter connections between the subjects involved
11 editions published in 2002 in English and held by 69 WorldCat member libraries worldwide
The book presents the study of torus actions on topological spaces is presented as a bridge connecting combinatorial and convex geometry with commutative and homological algebra, algebraic geometry, and topology. This established link helps in understanding the geometry and topology of a space with torus action by studying the combinatorics of the space of orbits. Conversely, subtle properties of a combinatorial object can be realized by interpreting it as the orbit structure for a proper manifold or as a complex acted on by a torus. The latter can be a symplectic manifold with Hamiltonian torus action, a toric variety or manifold, a subspace arrangement complement, etc., while the combinatorial objects include simplicial and cubical complexes, polytopes, and arrangements. This approach also provides a natural topological interpretation in terms of torus actions of many constructions from commutative and homological algebra used in combinatorics. The exposition centers around the theory of momentangle complexes, providing an effective way to study invariants of triangulations by methods of equivariant topology. The book includes many new and wellknown open problems and would be suitable as a textbook. It will be useful for specialists both in topology and in combinatorics and will help to establish even tighter connections between the subjects involved
Geometry, topology, and mathematical physics(
)
3 editions published in 2004 in English and held by 40 WorldCat member libraries worldwide
This volume contains a selection of papers based on presentations given at the S.P. Novikov seminar held at the Steklov Mathematical Institute in Moscow. Topics and speakers were chosen by the wellknown expert, S.P. Novikov, one of the leading mathematicians of the twentieth century. His diverse interests are the tradition of the seminar and are reflected in the topics presented in the book. The book begins with Novikov's paper analyzing the position of mathematics and theoretical physics at the beginning of the new millennium. Following is an interview with Novikov published in the Newslet
3 editions published in 2004 in English and held by 40 WorldCat member libraries worldwide
This volume contains a selection of papers based on presentations given at the S.P. Novikov seminar held at the Steklov Mathematical Institute in Moscow. Topics and speakers were chosen by the wellknown expert, S.P. Novikov, one of the leading mathematicians of the twentieth century. His diverse interests are the tradition of the seminar and are reflected in the topics presented in the book. The book begins with Novikov's paper analyzing the position of mathematics and theoretical physics at the beginning of the new millennium. Following is an interview with Novikov published in the Newslet
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 2008 in English and held by 23 WorldCat member libraries worldwide
2 editions published in 2008 in English and held by 23 WorldCat member libraries worldwide
Geometry, topology, and mathematical physics : S.P. Novikov's seminar 20022003(
Book
)
2 editions published in 2004 in English and held by 16 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
2 editions published in 2004 in English and held by 16 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
Topology, geometry, integrable systems, and mathematical physics : Novikov's seminar 20122014(
Book
)
1 edition published in 2014 in English and held by 15 WorldCat member libraries worldwide
1 edition published in 2014 in English and held by 15 WorldCat member libraries worldwide
Geometry, topology, and mathematical physics : S.P. Novikov's seminar: 20022003(
Book
)
1 edition published in 2004 in English and held by 14 WorldCat member libraries worldwide
1 edition published in 2004 in English and held by 14 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
)
3 editions published in 2009 in English and held by 12 WorldCat member libraries worldwide
3 editions published in 2009 in English and held by 12 WorldCat member libraries worldwide
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
)
6 editions published between 2008 and 2009 in English and held by 12 WorldCat member libraries worldwide
6 editions published between 2008 and 2009 in English and held by 12 WorldCat member libraries worldwide
Solitons, geometry, and topology: on the crossroad(
Book
)
1 edition published in 1997 in English and held by 12 WorldCat member libraries worldwide
1 edition published in 1997 in English and held by 12 WorldCat member libraries worldwide
Torus actions and their applications in topology and combinatorics by
V. M Buchstaber(
Book
)
1 edition published in 2002 in English and held by 11 WorldCat member libraries worldwide
1 edition published in 2002 in English and held by 11 WorldCat member libraries worldwide
Solitons, Geometry, and Topology by
V. M Buchstaber(
)
1 edition published in 1997 in English and held by 9 WorldCat member libraries worldwide
This collection contains articles reflecting the most recent activity in topology and mathematical physics presented at the S. Novikov Seminar held in Moscow. Papers in the volume are devoted to problems in geometry, topology, and mathematical physics, including applications of topology to physical problems. Such a combination is a longstanding tradition of the seminar, which originated in 1965
1 edition published in 1997 in English and held by 9 WorldCat member libraries worldwide
This collection contains articles reflecting the most recent activity in topology and mathematical physics presented at the S. Novikov Seminar held in Moscow. Papers in the volume are devoted to problems in geometry, topology, and mathematical physics, including applications of topology to physical problems. Such a combination is a longstanding tradition of the seminar, which originated in 1965
Geometrija, topologija i matematičeskaja fizika : sbornik statej; k 70letiju so dnja roždenija Sergeja Petroviča Novikova(
Book
)
7 editions published between 2008 and 2009 in Russian and held by 9 WorldCat member libraries worldwide
This volume is the first 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 volume is addressed to scientists and postgraduates who are interested in the problems of the abovelisted fields of science
7 editions published between 2008 and 2009 in Russian and held by 9 WorldCat member libraries worldwide
This volume is the first 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 volume is addressed to scientists and postgraduates who are interested in the problems of the abovelisted fields of science
Nelinejnaja dinamika : sbornik statej(
Book
)
2 editions published in 2005 in Russian and held by 8 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 8 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
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Related Identities
 Novikov, S. P. (Sergeĭ Petrovich) Other Honoree Dedicatee Author Editor
 Krichever, I. M. Editor
 Panov, Taras E. 1975 Editor
 Matematicheskiĭ institut im. V.A. Steklova
 Mikhailov, Alexander V. 1953 Other Editor
 KonstantinouRizos, Sotiris Editor
 Sosinskiĭ, A. B. (Alekseĭ Bronislavovich) Translator
 Dubrovin, B. A. (Boris Anatolʹevich) Editor
 American Mathematical Society Publisher
 MatematicheskiĬ institut im. V.A. Steklov Other
Useful Links
Associated Subjects
Algebraic topology Algebraic varieties Buchstaber, V. M Chaotic behavior in systemsMathematical models Combinatorial analysis Dynamics Geometry Geometry, Algebraic Geometry, Differential Hamiltonian systems Hopf algebras Mathematical physics Nonlinear theories Solitons Tensor fields Topological spaces Topology Toric varieties Torus (Geometry)
Covers
Alternative Names
Buchstaber V.M.
Buchštaber, V. M. 1943
Buchstaber, Victor M.
Buchstaber, Victor M. 1943
Buchstaber, Victor Matveevich
Buchstaber Victor Matveevich 1943
Buchštaber, Viktor M. 1943
Buchštaber, Viktor Matveevič
Buchštaber, Viktor Matveevič. [t]
Buhštaber, V. M.
Buhštaber, Viktor Matveevič.
Bukhshtaber, Viktor Matveevich 1943
Victor Buchstaber
Viktor Buchstaber matemático ruso
Viktor Buchstaber matematikan rus
Viktor Buchstaber mathématicien russe
Viktor Buchstaber Russian mathematician
Viktor Buchstaber Russisch wiskundige
Wiktor Matwejewitsch Buchstaber sowjetischer Mathematiker
Бухштабер В.М.
Бухштабер, Виктор Матвеевич
ڤيكتور بوتشستابير
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