CRM Proceedings & Lecture Notes
Volume: 15; 1998; 148 pp; Softcover
MSC: Primary 03; 58;
Print ISBN: 978-0-8218-0877-1
Product Code: CRMP/15
List Price: $46.00
Individual Member Price: $36.80
Geometry, Topology, and DynamicsShare this page
Edited by François Lalonde
A co-publication of the AMS and Centre de Recherches Mathématiques
This volume contains the proceedings from the workshop on
“Geometry, Topology and Dynamics” held at CRM at the
University of Montreal. The event took place at a crucial time with
respect to symplectic developments. During the previous year, Seiberg
and Witten had just introduced the famous gauge equations. Taubes then
extracted new invariants that were shown to be equivalent in some
sense to a particular form of Gromov invariants for symplectic
manifolds in dimension 4. With Gromov's deformation theory, this
constitutes an important advance in symplectic geometry by furnishing
Meanwhile, contact geometry was rapidly developing. Using both holomorphic arguments in symplectizations of contact manifolds and ad hoc topological arguments—or even gauge theoretic methods—several results were obtained on 3-dimensional contact manifolds and new surprising facts were derived about the Bennequin-Thurston invariant.
Furthermore, a fascinating relation exists between Hofer's geometry, pseudoholomorphic curves and the \(K\)-area recently introduced by Gromov. Finally, longstanding conjectures on the flux were resolved in a substantial number of specific cases by comparing various aspects of Floer-Novikov homology with Morse homology.
The papers in this volume are written by leading experts and are all clear, comprehensive, and original. The work covers a complete range of exciting new developments in symplectic and contact geometries.
Titles in this series are co-published with the Centre de Recherches Mathématiques.
Table of Contents
Table of Contents
Geometry, Topology, and Dynamics
Graduate students, research mathematicians, and physicists working in model theory.