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

Toru Ohmoto; Osamu Saeki; Kazuhiro Sakuma

doi:10.1090/S0002-9947-03-03345-2

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

Toru Ohmoto, Osamu Saeki, Kazuhiro Sakuma

Division of Fundamental mathematics

Research output: Contribution to journal › Article › peer-review

8 Citations (Scopus)

Abstract

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 language	English
Pages (from-to)	3825-3838
Number of pages	14
Journal	Transactions of the American Mathematical Society
Volume	355
Issue number	9
DOIs	https://doi.org/10.1090/S0002-9947-03-03345-2
Publication status	Published - Sep 2003

All Science Journal Classification (ASJC) codes

Mathematics(all)
Applied Mathematics

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10.1090/S0002-9947-03-03345-2

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