Self-indexing energy function for Morse-Smale diffeomorphisms on 3-manifolds

Details Self-indexing energy function for Morse-Smale diffeomorphisms on 3-manifolds Self-indexing energy function for Morse-Smale diffeomorphisms on 3-manifolds

2008-04-04

arxiv.org/abs/0804.0699v3

Moscow mathematical journal 9, 4 (2009) 801-821

Mathematics

Dynamical Systems

Scientific paper

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.

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