English

A simple construction of an action selector on aspherical symplectic manifolds

Symplectic Geometry 2020-01-13 v2

Abstract

We construct an action selector on aspherical symplectic manifolds that are closed or convex. Such selectors have been constructed by Matthias Schwarz using Floer homology. The construction we present here is simpler and uses only Gromov compactness.

Keywords

Cite

@article{arxiv.1902.00731,
  title  = {A simple construction of an action selector on aspherical symplectic manifolds},
  author = {Alberto Abbondandolo and Carsten Haug and Felix Schlenk},
  journal= {arXiv preprint arXiv:1902.00731},
  year   = {2020}
}

Comments

35 pages, 9 figures, Section 6 with three classical applications added