Fixed Points of abelian actions on $S^2$
Dynamical Systems
2007-05-23 v2
Abstract
We prove that if is a finitely generated abelian group of orientation preserving diffeomorphisms of which leaves invariant a compact set then there is a common fixed point for all elements of We also show that if is any abelian subgroup of orientation preserving diffeomorphisms of then there is a common fixed point for all elements of a subgroup of with index at most two.
Cite
@article{arxiv.math/0509574,
title = {Fixed Points of abelian actions on $S^2$},
author = {John Franks and Michael Handel and Kamlesh Parwani},
journal= {arXiv preprint arXiv:math/0509574},
year = {2007}
}