Conjugation of Morse Function on 3-Manifolds
Geometric Topology
2007-05-23 v2
Abstract
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.
Keywords
Cite
@article{arxiv.math/9812150,
title = {Conjugation of Morse Function on 3-Manifolds},
author = {Alexander Prishlyak},
journal= {arXiv preprint arXiv:math/9812150},
year = {2007}
}
Comments
To appear in Modern math. problem. Math. Institute of Ukr.Ac. of Sc., Reported on ICM 98, Berlin