Singular fibers and characteristic classes

Osamu Saeki, Takahiro Yamamoto

Research output: Contribution to journalArticle

5 Citations (Scopus)

Abstract

Let f : M → N be a proper generic map between smooth manifolds with dim N - dim M = - 1. We explicitly calculate the cohomology class dual to the closure of the set of points in N over which lies a specific singular fiber in terms of characteristic classes of M and N.

Original languageEnglish
Pages (from-to)112-120
Number of pages9
JournalTopology and its Applications
Volume155
Issue number2
DOIs
Publication statusPublished - Dec 1 2007

Fingerprint

Characteristic Classes
Smooth Manifold
Set of points
Cohomology
Closure
Fiber
Calculate
Class

All Science Journal Classification (ASJC) codes

  • Geometry and Topology

Cite this

Singular fibers and characteristic classes. / Saeki, Osamu; Yamamoto, Takahiro.

In: Topology and its Applications, Vol. 155, No. 2, 01.12.2007, p. 112-120.

Research output: Contribution to journalArticle

Saeki, Osamu ; Yamamoto, Takahiro. / Singular fibers and characteristic classes. In: Topology and its Applications. 2007 ; Vol. 155, No. 2. pp. 112-120.
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