Cobordism group of morse functions on surfaces with boundary

Osamu Saeki, Takahiro Yamamoto

研究成果: Chapter in Book/Report/Conference proceedingChapter

3 被引用数 (Scopus)

抄録

We consider Morse functions on compact manifolds possibly with boundary, and define their admissible cobordism group, based on generic maps into the plane that are submersions near the boundary. Then, we show that the cobordism group of Morse functions on surfaces with boundary is isomorphic to the cyclic group of order two. Our approach is based on the Stein factorizations: the novelty lies in the challenge that we consider Morse functions on manifolds with boundary and their cobordisms.

本文言語英語
ホスト出版物のタイトルContemporary Mathematics
出版社American Mathematical Society
ページ279-297
ページ数19
DOI
出版ステータス出版済み - 2016

出版物シリーズ

名前Contemporary Mathematics
675
ISSN(印刷版)0271-4132
ISSN(電子版)1098-3627

All Science Journal Classification (ASJC) codes

  • 数学 (全般)

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