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Complete invariant for two-dimentional Morse-Smale diffeomorphisms

I. Vlasenko
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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.

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I. Vlasenko. 2000-02-11. Complete invariant for two-dimentional Morse-Smale diffeomorphisms. https://arxiv.org/abs/math/9812063

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