Symplectic Topology and Measure Preserving Dynamical Systems

Symplectic Topology and Measure Preserving Dynamical Systems

ISBN-10:
0821848925
ISBN-13:
9780821848920
Pub. Date:
05/28/2010
Publisher:
American Mathematical Society

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Overview

Symplectic Topology and Measure Preserving Dynamical Systems

The papers in this volume were presented at the AMS-IMS-SIAM Joint Summer Research Conference on Symplectic Topology and Measure Preserving Dynamical Systems held in Snowbird, Utah in July 2007. The aim of the conference was to bring together specialists of symplectic topology and of measure preserving dynamics to try to connect these two subjects. One of the motivating conjectures at the interface of these two fields is the question of whether the group of area preserving homeomorphisms of the 2-disc is or is not simple. For diffeomorphisms it was known that the kernel of the Calabi invariant is a normal proper subgroup, so the group of area preserving diffeomorphisms is not simple. Most articles are related to understanding these and related questions in the framework of modern symplectic topology.

Product Details

ISBN-13: 9780821848920
Publisher: American Mathematical Society
Publication date: 05/28/2010
Series: Contemporary Mathematics Series , #512
Edition description: New Edition
Pages: 177
Product dimensions: 6.90(w) x 9.90(h) x 0.40(d)

Table of Contents

Preface

List of Speakers

A Hofer-like metric on the group of symplectic diffeomorphisms Augustin Banyaga Banyaga, Augustin 1

C°-rigidity of Poisson brackets Leonid Polterovich Polterovich, Leonid 25

Six questions, a proposition and two pictures on Hofer distance for Hamiltonian diffeomorphisms on surfaces Frederic Le Roux Le Roux, Frederic 33

Order structure on action minimizing orbits John N. Mather Mather, John N. 41

Loops in the Hamiltonian group: A survey Dusa McDuff McDuff, Dusa 127

The group of Hamiltonian homeomorphisms and continuous Hamiltonian flows Yong-Geun Oh Oh, Yong-Geun 149

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