Symplectic and contact topology : interactions and perspectives
著者
書誌事項
Symplectic and contact topology : interactions and perspectives
（Fields Institute communications, 35）
American Mathematical Society, c2003
- タイトル別名
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Symplectic interactions
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注記
Includes bibliographical references
内容説明・目次
内容説明
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 Mathematiques 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.
目次
Kahler geometry of toric manifolds in symplectic coordinates by M. Abreu The curvature and the integrability of almost-Kahler manifolds: A survey by V. Apostolov and T. Draghici A Morse-Bott approach to contact homology by F. Bourgeois Deforming surfaces in four dimensional manifolds by J. Chen Integrability and the Einstein equations by A. Dancer and M. Y. Wang On the invariants of Legendrian mirror torus links by J. Epstein and D. Fuchs Symplectically harmonic cohomology of nilmanifolds by R. Ibanez, Yu. Rudyak, A. Tralle, and L. Ugarte Godbillon-Vey invariants for families of foliations by D. Kotschick A note on extended complex manifolds by S. A. Merkulov On action of symplectomorphisms of the complex plane on pairs of matrices by V. Pidstrygach Slow symplectic maps, continued fractions, and related stories by L. Polterovich The gluing construction for normally generic $J$-holomorphic curves by J.-C. Sikorav.
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