English

The number of Hamiltonian fixed points on symplectically aspherical manifolds

Symplectic Geometry 2017-01-09 v2 Geometric Topology

Abstract

We show that a generic Hamiltonian diffeomorphism on a closed symplectic manifold which is symplectically aspherical has at least the stable Morse number of fixed points - this is in line with a conjecture by Arnold.

Keywords

Cite

@article{arxiv.1609.04776,
  title  = {The number of Hamiltonian fixed points on symplectically aspherical manifolds},
  author = {Georgios Dimitroglou Rizell and Roman Golovko},
  journal= {arXiv preprint arXiv:1609.04776},
  year   = {2017}
}

Comments

12 pages, reorganized exposition