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arXiv · 1509.05848

Singular fibers of stable maps of 3-manifolds with boundary into surfaces and their applications

Osamu Saeki·Takahiro Yamamoto
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Abstract

In this paper, we first classify singular fibers of proper $C^\infty$ stable maps of 3-dimensional manifolds with boundary into surfaces. Then, we compute the cohomology groups of the associated universal complex of singular fibers, and obtain certain cobordism invariants for Morse functions on compact surfaces with boundary.

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Osamu Saeki, Takahiro Yamamoto. 2015-09-19. Singular fibers of stable maps of 3-manifolds with boundary into surfaces and their applications. https://doi.org/10.2140/agt.2016.16.1379

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