CMS/SMC
Canadian Mathematical Society
www.cms.math.ca
Canadian Mathematical Society
  location:  PublicationsjournalsCJM
Abstract view

The Fundamental Group of $S^1$-manifolds

  Published:2010-07-06
 Printed: Oct 2010
  • Leonor Godinho,
    Departmento de Matemática, Instituto Superior Técnico, Lisbon, Portugal
  • M. E. Sousa-Dias,
    Departmento de Matemática, Instituto Superior Técnico, Lisbon, Portugal
Features coming soon:
Citations   (via CrossRef) Tools: Search Google Scholar:
Format:   HTML   LaTeX   MathJax   PDF  

Abstract

We address the problem of computing the fundamental group of a symplectic $S^1$-manifold for non-Hamiltonian actions on compact manifolds, and for Hamiltonian actions on non-compact manifolds with a proper moment map. We generalize known results for compact manifolds equipped with a Hamiltonian $S^1$-action. Several examples are presented to illustrate our main results.
MSC Classifications: 53D20, 37J10, 55Q05 show english descriptions Momentum maps; symplectic reduction
Symplectic mappings, fixed points
Homotopy groups, general; sets of homotopy classes
53D20 - Momentum maps; symplectic reduction
37J10 - Symplectic mappings, fixed points
55Q05 - Homotopy groups, general; sets of homotopy classes
 

© Canadian Mathematical Society, 2014 : http://www.cms.math.ca/