Symplectic and Contact Topology: Interactions and Perspectives
Author | : Y. Eliashberg |
Publisher | : American Mathematical Soc. |
Total Pages | : 210 |
Release | : 2003 |
ISBN-10 | : 9780821831625 |
ISBN-13 | : 0821831623 |
Rating | : 4/5 (25 Downloads) |
Book excerpt: 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.