The fundamental group of $S^1$-manifolds

L. Godinho; M. E. Sousa-Dias

The fundamental group of $S^1$-manifolds

Symplectic Geometry 2007-05-23 v1 Algebraic Topology

Authors: L. Godinho , M. E. Sousa-Dias

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.

Keywords

fundamental group symplectic S^1-manifold non-Hamiltonian action Hamiltonian action moment map compact manifold non-compact manifold

Cite

@article{arxiv.math/0505420,
  title  = {The fundamental group of $S^1$-manifolds},
  author = {L. Godinho and M. E. Sousa-Dias},
  journal= {arXiv preprint arXiv:math/0505420},
  year   = {2007}
}

Comments

15 pages, 3 figures

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