

Hardcover ISBN: | 978-0-8218-3162-5 |
Product Code: | FIC/35 |
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AMS Member Price: | $63.20 |
Electronic ISBN: | 978-1-4704-3069-6 |
Product Code: | FIC/35.E |
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AMS Member Price: | $59.20 |
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Book DetailsFields Institute CommunicationsVolume: 35; 2003; 199 ppMSC: Primary 53; 57; Secondary 37; 58;
The papers presented in this volume are written by participants of the “Symplectic and Contact Topology, Quantum Cohomology, and Symplectic Field Theory” symposium. The workshop was part of a semester-long joint venture of The Fields Institute in Toronto and the Centre de Recherches Mathématiques in Montreal.
The twelve papers cover the following topics: Symplectic Topology, the interaction between symplectic and other geometric structures, and Differential Geometry and Topology.
The Proceeding concludes with two papers that have a more algebraic character. One is related to the program of Homological Mirror Symmetry: the author defines a category of extended complex manifolds and studies its properties. The subject of the final paper is Non-commutative Symplectic Geometry, in particular the structure of the symplectomorphism group of a non-commutative complex plane.
The in-depth articles make this book a useful reference for graduate students as well as research mathematicians.ReadershipGraduate students and research mathematicians interested in geometry and topology.
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Table of Contents
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Chapters
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Miguel Abreu - Kähler geometry of toric manifolds in symplectic coordinates
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Vestislav Apostolov and Tedi Drăghici - The curvature and the integrability of almost-Kähler manifolds: A survey
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Frédéric Bourgeois - A Morse-Bott approach to contact homology
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Jingyi Chen - Deforming surfaces in four dimensional manifolds
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Andrew Dancer and McKenzie Wang - Integrability and the Einstein equations
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Judith Epstein and Dmitry Fuchs - On the invariants of Legendrian mirror torus links
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R. Ibáñez, Yu. Rudyak, A. Tralle and L. Ugarte - Symplectically harmonic cohomology of nilmanifolds
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D. Kotschick - Godbillon-Vey invariants for families of foliations
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S. Merkulov - A note on extended complex manifolds
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Victor Pidstrygach - On action of symplectomorphisms of the complex plane on pairs of matrices
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Leonid Polterovich - Slow symplectic maps, continued fractions, and related stories
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Jean-Claude Sikorav - The gluing construction for normally generic $J$-holomorphic curves
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The papers presented in this volume are written by participants of the “Symplectic and Contact Topology, Quantum Cohomology, and Symplectic Field Theory” symposium. The workshop was part of a semester-long joint venture of The Fields Institute in Toronto and the Centre de Recherches Mathématiques in Montreal.
The twelve papers cover the following topics: Symplectic Topology, the interaction between symplectic and other geometric structures, and Differential Geometry and Topology.
The Proceeding concludes with two papers that have a more algebraic character. One is related to the program of Homological Mirror Symmetry: the author defines a category of extended complex manifolds and studies its properties. The subject of the final paper is Non-commutative Symplectic Geometry, in particular the structure of the symplectomorphism group of a non-commutative complex plane.
The in-depth articles make this book a useful reference for graduate students as well as research mathematicians.
Graduate students and research mathematicians interested in geometry and topology.
-
Chapters
-
Miguel Abreu - Kähler geometry of toric manifolds in symplectic coordinates
-
Vestislav Apostolov and Tedi Drăghici - The curvature and the integrability of almost-Kähler manifolds: A survey
-
Frédéric Bourgeois - A Morse-Bott approach to contact homology
-
Jingyi Chen - Deforming surfaces in four dimensional manifolds
-
Andrew Dancer and McKenzie Wang - Integrability and the Einstein equations
-
Judith Epstein and Dmitry Fuchs - On the invariants of Legendrian mirror torus links
-
R. Ibáñez, Yu. Rudyak, A. Tralle and L. Ugarte - Symplectically harmonic cohomology of nilmanifolds
-
D. Kotschick - Godbillon-Vey invariants for families of foliations
-
S. Merkulov - A note on extended complex manifolds
-
Victor Pidstrygach - On action of symplectomorphisms of the complex plane on pairs of matrices
-
Leonid Polterovich - Slow symplectic maps, continued fractions, and related stories
-
Jean-Claude Sikorav - The gluing construction for normally generic $J$-holomorphic curves