Singular fibers of stable maps and signatures of 4-manifolds

Details Singular fibers of stable maps and signatures of 4-manifolds Singular fibers of stable maps and signatures of 4-manifolds

2009-02-26

arxiv.org/abs/0902.4576v1

Geom. Topol. 10 (2006) 359-399

Mathematics

Geometric Topology

This is the version published by Geometry & Topology on 7 April 2006

Scientific paper

10.2140/gt.2006.10.359

We show that for a C^infty stable map of an oriented 4-manifold into a
3-manifold, the algebraic number of singular fibers of a specific type
coincides with the signature of the source 4-manifold.

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