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 |
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Pages (from-to) | 3825-3838 |
Number of pages | 14 |
Journal | Transactions of the American Mathematical Society |
Volume | 355 |
Issue number | 9 |
DOIs | |
Publication status | Published - Sept 2003 |
All Science Journal Classification (ASJC) codes
- Mathematics(all)
- Applied Mathematics