Complete invariant for two-dimentional Morse-Smale diffeomorphisms
Dynamical Systems
2007-05-23 v2 Differential Geometry
Abstract
We consider general Morse-Smale diffeomorphisms on a closed orientable two-dimentional surface. In this paper it is proved that the complete topological invariant of Morse-Smale diffeomorphisms is finite, the algorithm of the construction of the complete topological invariant in explicit form is given and necessary and sufficient conditions of topological conjugacy of Morse-Smale diffeomorphisms is obtained.
Cite
@article{arxiv.math/9812063,
title = {Complete invariant for two-dimentional Morse-Smale diffeomorphisms},
author = {I. Vlasenko},
journal= {arXiv preprint arXiv:math/9812063},
year = {2007}
}
Comments
AMS-LaTeX(2e), 6figures, 40 pages