On the topology of stable maps. (English) Zbl 1294.57018
In this interesting paper the authors investigate the applications of Viro’s integral calculus to the study of the topology of stable maps between manifolds. The paper is organized into seven sections dealing with the following aspects: Viro’s integral calculus, local triviality at infinity, Euler characteristics of local generic fibers, the study of stable maps \(f:M^m \rightarrow N^n\) with \(m\geq n\), applications to Morin maps, complex maps. Other results by the second author directly connected to this topic are contained in the paper [T. Fukui and J. Weyman, Proc. Lond. Math. Soc. (3) 87, No. 1, 137–163 (2003; Zbl 1077.58025)].
Reviewer: Dorin Andrica (Riyadh)
MSC:
| 57R45 | Singularities of differentiable mappings in differential topology |
| 57R20 | Characteristic classes and numbers in differential topology |
| 57R70 | Critical points and critical submanifolds in differential topology |
| 58C25 | Differentiable maps on manifolds |
Citations:
Zbl 1077.58025References:
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