English

Fixed Points of abelian actions

Dynamical Systems 2007-05-23 v1

Abstract

We prove that if \F\F is an abelian group of C1C^1 diffeomorphisms isotopic to the identity of a closed surface SS of genus at least two then there is a common fixed point for all elements of \F.\F.

Keywords

Cite

@article{arxiv.math/0607557,
  title  = {Fixed Points of abelian actions},
  author = {John Franks and Michael Handel and Kamlesh Parwani},
  journal= {arXiv preprint arXiv:math/0607557},
  year   = {2007}
}
R2 v1 2026-07-22T17:39:25.065Z