Conjugation of Morse Function on 3-Manifolds

Details Conjugation of Morse Function on 3-Manifolds Conjugation of Morse Function on 3-Manifolds

1998-12-28

arxiv.org/abs/math/9812150v2

Mathematics

Geometric Topology

To appear in Modern math. problem. Math. Institute of Ukr.Ac. of Sc., Reported on ICM 98, Berlin

Scientific paper

The questions when two Morse function on closed manifolds are conjugated is
investigated. Using the handle decompositions of manifolds the condition of
conjugation is formulated. For each Morse function on 3-manifold the ordered
generalized Heegaard diagram is built. The criteria of Morse function
conjugation are given in the terms of equivalence of such diagrams.

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