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.

Titles in this series are co-published with the Fields Institute for Research in Mathematical Sciences (Toronto, Ontario, Canada).

Readership

Graduate students and research mathematicians interested in geometry and topology.

Table of Contents

• M. Abreu -- Kähler geometry of toric manifolds in symplectic coordinates
• V. Apostolov and T. Drăghici -- The curvature and the integrability of almost-Kähler manifolds: A survey
• F. Bourgeois -- A Morse-Bott approach to contact homology
• J. Chen -- Deforming surfaces in four dimensional manifolds
• A. Dancer and M. Y. Wang -- Integrability and the Einstein equations
• J. Epstein and D. 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. A. Merkulov -- A note on extended complex manifolds
• V. Pidstrygach -- On action of symplectomorphisms of the complex plane on pairs of matrices
• L. Polterovich -- Slow symplectic maps, continued fractions, and related stories
• J.-C. Sikorav -- The gluing construction for normally generic \(J\)-holomorphic curves