CRM Proceedings & Lecture Notes 1998; 148 pp; softcover Volume: 15 ISBN10: 082180877X ISBN13: 9780821808771 List Price: US$46 Member Price: US$36.80 Order Code: CRMP/15
 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 existence criteria. Meanwhile, contact geometry was rapidly developing. Using both holomorphic arguments in symplectizations of contact manifolds and ad hoc topological argumentsor even gauge theoretic methodsseveral results were obtained on 3dimensional contact manifolds and new surprising facts were derived about the BennequinThurston 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 FloerNovikov 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 copublished with the Centre de Recherches Mathématiques. Readership Graduate students, research mathematicians, and physicists working in model theory. Table of Contents  A. Banyaga  Isomorphisms between classical diffeomorphism groups
 Y. Eliashberg and M. J. Fraser  Classification of topologically trivial Legendrian knots
 H. Geiges and C. B. Thomas  Contact structures on 7manifolds
 F. Lalonde, D. McDuff, and L. Polterovich  On the flux conjectures
 V. Lizan  About the bubbling off phenomenon in the limit of a sequence of \(J\)curves
 J. D. McCarthy and J. G. Wolfson  Symplectic resolution of isolated algebraic singularities
 D. Milinković and Y.G. Oh  Generating functions versus action functionalstable Morse theory versus Floer theory
 M. Minoo  Scalar curvature rigidity of certain symmetric spaces
 K. F. Siburg  Biinvariant metrics for symplectic twist mappings on \(boldsymbol{T}^* \mathbb{T}^n\) and an application in AubryMather theory
