Symplectic Geometry (eBook, PDF)

Redaktion: Salamon, Dietmar

• Format: PDF

Produktbeschreibung

This volume is based on lectures given at a workshop and conference on symplectic geometry at the University of Warwick in August 1990. The area of symplectic geometry has developed rapidly in the past ten years with major new discoveries that were motivated by and have provided links with many other subjects such as dynamical systems, topology, gauge theory, mathematical physics and singularity theory. The conference brought together a number of leading experts in these areas of mathematics. The contributions to this volume reflect the richness of the subject and include expository papers as well as original research. They will be an essential source for all research mathematicians in symplectic geometry.

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Produktdetails

• Verlag: Cambridge University Press
• Erscheinungstermin: 3. Februar 1994
• Englisch
• ISBN-13: 9780511892790
• Artikelnr.: 38203033

Inhaltsangabe

A variational interpretation of Melnikov's function and exponitionally
small separaratrix splitting S. Angenent; Global Darboux theorems and a
linearization problem E. Ciriza; Complex cobordism, Ashtekar's equations
and diffeomorphisms S. Donaldson; Instanton homology and symplectic fixed
points S. Dostoglou & D. Salamon; An energy-capacity inequality for the
symplectic holonomy of hypersurfaces flat at infinity Y. Eliashberg and H.
Hofer; Examples of singular reduction E. Lerman, R. Montgomery and R.
Sjamaar; Remarks on the uniqeness of symplectic blowing up D. McDuff; The
4-dimensional symplectic camel and related results D. McDuff and L.
Traynor; Differential forms and connections adapted to a contact structure
M. Rumin and P. Pansu; The Maslov class rigidity and non-existence of
lagrangian embeddings L. Polterovich; Phase functions and path integrals J.
Robbin and D. Salamon; Symplectic mappings which are stable at infinity E.
Zehnder.