Singular fibers of stable maps and signatures of 4-manifolds

Osamu Saeki; Takahiro Yamamoto

doi:10.2140/gt.2006.10.359

Singular fibers of stable maps and signatures of 4-manifolds

Osamu Saeki, Takahiro Yamamoto

Division of Fundamental mathematics

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

7 Citations (Scopus)

Abstract

We show that for a C^∞ 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.

Original language	English
Pages (from-to)	359-399
Number of pages	41
Journal	Geometry and Topology
Volume	10
DOIs	https://doi.org/10.2140/gt.2006.10.359
Publication status	Published - Apr 7 2006

All Science Journal Classification (ASJC) codes

Geometry and Topology

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10.2140/gt.2006.10.359

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abstract = "We show that for a C∞ 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.",

author = "Osamu Saeki and Takahiro Yamamoto",

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Singular fibers of stable maps and signatures of 4-manifolds

Abstract

All Science Journal Classification (ASJC) codes

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