Complete invariant for two-dimentional Morse-Smale diffeomorphisms
arXiv:math/9812063
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.
AMS-LaTeX(2e), 6figures, 40 pages