Kontsevich, Maxim
Overview
Works:  32 works in 41 publications in 2 languages and 427 library holdings 

Genres:  Conference proceedings 
Roles:  Editor, Author 
Classifications:  QA169, 512.55 
Publication Timeline
.
Most widely held works by
Maxim Kontsevich
Pseudoperiodic topology
(
Book
)
6 editions published between 1999 and 2000 in English and held by 202 WorldCat member libraries worldwide
6 editions published between 1999 and 2000 in English and held by 202 WorldCat member libraries worldwide
Homological mirror symmetry and tropical geometry
by
Ricardo CastañoBernard(
)
2 editions published in 2014 in English and held by 188 WorldCat member libraries worldwide
2 editions published in 2014 in English and held by 188 WorldCat member libraries worldwide
Intersection theory on the moduli space of curves and the matrix Airy function
by
Maxim Kontsevich(
Book
)
2 editions published in 1991 in German and English and held by 4 WorldCat member libraries worldwide
2 editions published in 1991 in German and English and held by 4 WorldCat member libraries worldwide
RozanskyWitten invariants via formal geometry
by
Maxim Kontsevich(
Book
)
2 editions published in 1997 in English and held by 2 WorldCat member libraries worldwide
2 editions published in 1997 in English and held by 2 WorldCat member libraries worldwide
Sur le groupe de Cremona et ses sousgroupes
by
Alexandr Usnich(
Book
)
1 edition published in 2008 in English and held by 2 WorldCat member libraries worldwide
Ce travail peut être divisé en trois partie: 1. Théorie des groupes. Il s'agit ici d'une étude de la structure du groupe T de Thompson. On explique la notion de la mutation linéaire par morceaux et on obtient la nouvelle présentation de ce groupe en termes des génerateurs et relations. 2. Géometrie birationnelle. On étudie en détail le groupe de Cremona qui est un groupe des automorphismes birationnels du plan projectif. En particulier on s'interesse à son sousgroupe Symp des elements qui préserve le crochet de Poisson dit logarithmique, aussi bien qu'à un sousgroupe H engendré par SL(2,Z) et par les mutations. On construit des limites projectives des surfaces sur lesquelles ces groupes agissent régulièrement, et on en déduit les répresentations linéaires de ces groupes dans les limites inductives des groupes de Picard des surfaces. 3. Algèbre homologique. A partir d'une variété algébrique on construit une catégorie triangulée qui ne dépend que de sa classe birationnelle. En utilisant la technique de quotient de dgcatégories, on calcule explicitement cette catégorie pour les surfaces rationnelles. Comme consequence on obtient l'action du groupe de Cremona sur une algébre noncommutative par les automorphismes extérieures. On donne les applications de ces résultats aux formules des mutations des variables noncommutatives
1 edition published in 2008 in English and held by 2 WorldCat member libraries worldwide
Ce travail peut être divisé en trois partie: 1. Théorie des groupes. Il s'agit ici d'une étude de la structure du groupe T de Thompson. On explique la notion de la mutation linéaire par morceaux et on obtient la nouvelle présentation de ce groupe en termes des génerateurs et relations. 2. Géometrie birationnelle. On étudie en détail le groupe de Cremona qui est un groupe des automorphismes birationnels du plan projectif. En particulier on s'interesse à son sousgroupe Symp des elements qui préserve le crochet de Poisson dit logarithmique, aussi bien qu'à un sousgroupe H engendré par SL(2,Z) et par les mutations. On construit des limites projectives des surfaces sur lesquelles ces groupes agissent régulièrement, et on en déduit les répresentations linéaires de ces groupes dans les limites inductives des groupes de Picard des surfaces. 3. Algèbre homologique. A partir d'une variété algébrique on construit une catégorie triangulée qui ne dépend que de sa classe birationnelle. En utilisant la technique de quotient de dgcatégories, on calcule explicitement cette catégorie pour les surfaces rationnelles. Comme consequence on obtient l'action du groupe de Cremona sur une algébre noncommutative par les automorphismes extérieures. On donne les applications de ces résultats aux formules des mutations des variables noncommutatives
La géométrie et la théorie conforme des champs
by
Alexandre Engoulatov(
Book
)
1 edition published in 2006 in English and held by 2 WorldCat member libraries worldwide
This thesis deals with a Riemannian geometric question which is motivated by the problem of compactifying the moduli space of Conformal Field Theories (CFT). M. Kontsevich associates to a degenerating sequence of CFT's a limiting object which contains a Riemannian manifold M with nonnegative Ricci curvature, and its graph field theory. This amounts to a family of operators on tensor powers of the Hilbert space L^2(M), indexed by metric graphs. For instance, the operator attached to the graph with two vertices and one edge of length t is the heat semigroup P_t. The main result in the thesis is an a priori estimate of the norm of the gradient of the logarithm of the heat kernel on a compact Riemannian manifold, for short times, depending on the lower bound on Ricci curvature and on diameter only. The proof, which uses stochastic calculus, extends to certain semigroups satisfying curvaturedimension inequalities, in the sense of D. Bakry and M. Emery. Using J. Cheeger and T. H. Colding's structure results on limit spaces of such Riemannian manifolds, it is shown that the a priori estimate extends to these singular limit spaces. A compactness theorem for graph field theories associated with compact Riemannian manifolds satisfying a uniform lower bound on Ricci curvature follows
1 edition published in 2006 in English and held by 2 WorldCat member libraries worldwide
This thesis deals with a Riemannian geometric question which is motivated by the problem of compactifying the moduli space of Conformal Field Theories (CFT). M. Kontsevich associates to a degenerating sequence of CFT's a limiting object which contains a Riemannian manifold M with nonnegative Ricci curvature, and its graph field theory. This amounts to a family of operators on tensor powers of the Hilbert space L^2(M), indexed by metric graphs. For instance, the operator attached to the graph with two vertices and one edge of length t is the heat semigroup P_t. The main result in the thesis is an a priori estimate of the norm of the gradient of the logarithm of the heat kernel on a compact Riemannian manifold, for short times, depending on the lower bound on Ricci curvature and on diameter only. The proof, which uses stochastic calculus, extends to certain semigroups satisfying curvaturedimension inequalities, in the sense of D. Bakry and M. Emery. Using J. Cheeger and T. H. Colding's structure results on limit spaces of such Riemannian manifolds, it is shown that the a priori estimate extends to these singular limit spaces. A compactness theorem for graph field theories associated with compact Riemannian manifolds satisfying a uniform lower bound on Ricci curvature follows
Lyapunov exponents and Hodge theory
by
Maxim Kontsevich(
Book
)
2 editions published in 1997 in English and held by 2 WorldCat member libraries worldwide
2 editions published in 1997 in English and held by 2 WorldCat member libraries worldwide
Deformation quantization of Poisson manifolds
by
Maxim Kontsevich(
Book
)
in English and held by 1 WorldCat member library worldwide
in English and held by 1 WorldCat member library worldwide
Lagrangianité de cycles associés à un Dmodule holonôme
by
Thomas Bitoun(
Book
)
1 edition published in 2010 in English and held by 1 WorldCat member library worldwide
We prove an analog of the involutivity of the characteristic variety theorem for the reduction to positive characteristic of holonomic Dmodules, involving the pcurvature
1 edition published in 2010 in English and held by 1 WorldCat member library worldwide
We prove an analog of the involutivity of the characteristic variety theorem for the reduction to positive characteristic of holonomic Dmodules, involving the pcurvature
The Fifth Takagi lectures 45 October 2008, Tokyo
by Maxim Kontsevich(
Book
)
1 edition published in 2008 in English and held by 1 WorldCat member library worldwide
1 edition published in 2008 in English and held by 1 WorldCat member library worldwide
Noncommutative smooth spaces
by
Maxim Kontsevich(
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
On poly(ana)logs I : with an appendix by Maxim Kontsevich
by
Philippe ElbazVincent(
Book
)
1 edition published in 2000 in English and held by 1 WorldCat member library worldwide
1 edition published in 2000 in English and held by 1 WorldCat member library worldwide
Limits of complex structures
by World Mathematical Year 2000 Symposium : the Legacy of John Charles Fields(
Visual
)
1 edition published in 2000 in English and held by 1 WorldCat member library worldwide
1 edition published in 2000 in English and held by 1 WorldCat member library worldwide
Frobenius manifolds and formality of Lie algebras of polyvector fields
by
Sergeĭ Barannikov(
Book
)
1 edition published in 1998 in English and held by 1 WorldCat member library worldwide
1 edition published in 1998 in English and held by 1 WorldCat member library worldwide
A category of kernels for equivariant factorizations and its implications for Hodge theory. Affine MirkovićVilonen polytopes / by Pierre Baumann, Joel Kamnitzer, and Peter Tingley. Sum of Lyapunov exponents of the Hodge bundle with respect to te Teichmüller geodesic flow / by Alex Eskin, Maxim Kontsevich, Anton Zorich. The space of metrics of positive scalar curvature / by Bernhard Hanke, Thomas Schick, and Wolfgang Steimle.
by
Matthew Ballard(
Book
)
1 edition published in 2014 in English and held by 1 WorldCat member library worldwide
1 edition published in 2014 in English and held by 1 WorldCat member library worldwide
Noncummutative stacks
by
Maxim Kontsevich(
Book
)
1 edition published in 2004 in English and held by 1 WorldCat member library worldwide
1 edition published in 2004 in English and held by 1 WorldCat member library worldwide
Noncummutative spaces and flat descent
(
)
1 edition published in 2004 in English and held by 1 WorldCat member library worldwide
1 edition published in 2004 in English and held by 1 WorldCat member library worldwide
A Special volume dedicated to the memory of F.A. Berezin
(
Book
)
1 edition published in 2005 in English and held by 1 WorldCat member library worldwide
1 edition published in 2005 in English and held by 1 WorldCat member library worldwide
Enumeration of rational curves via torus actions
by
Maxim Kontsevich(
Book
)
1 edition published in 1994 in English and held by 1 WorldCat member library worldwide
1 edition published in 1994 in English and held by 1 WorldCat member library worldwide
Noncummutative spaces and flat descent
by
Maxim Kontsevich(
Book
)
1 edition published in 2004 in English and held by 1 WorldCat member library worldwide
1 edition published in 2004 in English and held by 1 WorldCat member library worldwide
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Related Identities
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 Arnolʹd, V. I. (Vladimir Igorevich) 19372010 Editor
 Arnol'd, Vladimir Igorevitch (1937....). Editor
 Rosenberg, Alexander
 Université de ParisSud Faculté des Sciences d'Orsay (Essonne)
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