Cobordism group of Morse functions on surfaces

Kazuichi Ikegami, Osamu Saeki

Research output: Contribution to journalArticle

11 Citations (Scopus)

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.

Original languageEnglish
Pages (from-to)1081-1094
Number of pages14
JournalJournal of the Mathematical Society of Japan
Volume55
Issue number4
DOIs
Publication statusPublished - Jan 1 2003

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Morse Function
Cobordism
Infinite Groups
Cyclic group
Two Dimensions
Generator

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

Cite this

Cobordism group of Morse functions on surfaces. / Ikegami, Kazuichi; Saeki, Osamu.

In: Journal of the Mathematical Society of Japan, Vol. 55, No. 4, 01.01.2003, p. 1081-1094.

Research output: Contribution to journalArticle

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