Open Access
October, 2003 Cobordism group of Morse functions on surfaces
Kazuichi IKEGAMI, Osamu SAEKI
J. Math. Soc. Japan 55(4): 1081-1094 (October, 2003). DOI: 10.2969/jmsj/1191418765

Abstract

We define the cobordism group of Morse functions on manifolds and show that it is an infinite cyclic group for dimension two in the oriented case. We also give an explicit Morse function which gives a generator of the group.

Citation

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Kazuichi IKEGAMI. Osamu SAEKI. "Cobordism group of Morse functions on surfaces." J. Math. Soc. Japan 55 (4) 1081 - 1094, October, 2003. https://doi.org/10.2969/jmsj/1191418765

Information

Published: October, 2003
First available in Project Euclid: 3 October 2007

zbMATH: 1046.57020
MathSciNet: MR2003761
Digital Object Identifier: 10.2969/jmsj/1191418765

Subjects:
Primary: 57R45
Secondary: 57R75

Keywords: cobordism , fold singularity , Morse function , Reeb graph , Stein factorization

Rights: Copyright © 2003 Mathematical Society of Japan

Vol.55 • No. 4 • October, 2003
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