Self-indexing energy function for Morse-Smale diffeomorphisms on 3-manifolds
Dynamical Systems
2010-02-03 v3 Geometric Topology
Abstract
The paper is devoted to finding conditions to the existence of a self-indexing energy function for Morse-Smale diffeomorphisms on a 3-manifold. These conditions involve how the stable and unstable manifolds of saddle points are embedded in the ambient manifold. We also show that the existence of a self-indexing energy function is equivalent to the existence of a Heegaard splitting of a special type with respect to the considered diffeomorphism.
Keywords
Cite
@article{arxiv.0804.0699,
title = {Self-indexing energy function for Morse-Smale diffeomorphisms on 3-manifolds},
author = {Viatcheslav Grines and Francois Laudenbach and Olga Pochinka},
journal= {arXiv preprint arXiv:0804.0699},
year = {2010}
}