Self-intersection class for singularities and its application to fold maps

Toru Ohmoto, Osamu Saeki, Kazuhiro Sakuma

研究成果: Contribution to journalArticle査読

8 被引用数 (Scopus)

抄録

Let f : M → N be a generic smooth map with corank one singularities between manifolds, and let S(f] be the singular point set of f. We define the self-intersection class I(S(f)) ∈ H* (M; Z) of S(f) using an incident class introduced by Rimányi but with twisted coefficients, and give a formula for I(S(f)) in terms of characteristic classes of the manifolds. We then apply the formula to the existence problem of fold maps.

本文言語英語
ページ(範囲)3825-3838
ページ数14
ジャーナルTransactions of the American Mathematical Society
355
9
DOI
出版ステータス出版済み - 9 2003

All Science Journal Classification (ASJC) codes

  • 数学 (全般)
  • 応用数学

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