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

Toru Ohmoto, Osamu Saeki, Kazuhiro Sakuma

Research output: Contribution to journalArticlepeer-review

10 Citations (Scopus)


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.

Original languageEnglish
Pages (from-to)3825-3838
Number of pages14
JournalTransactions of the American Mathematical Society
Issue number9
Publication statusPublished - Sept 2003

All Science Journal Classification (ASJC) codes

  • General Mathematics
  • Applied Mathematics


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