Singular fibers And 4-dimensional cobordism group

Research output: Contribution to journalArticle

Abstract

Using the technique of singular fibers of C stable maps, we give a new proof to the theorem, originally due to Rohlin, that the oriented cobordism group of 4-dimensional manifolds is infinite cyclic and is generated by the cobordism class of the complex projective plane. A byproduct is a new and transparent proof of the signature formula, originally due to T. Yamamoto and the author, for 4-dimensional manifolds in terms of singular fibers.

Original languageEnglish
Pages (from-to)233-256
Number of pages24
JournalPacific Journal of Mathematics
Volume248
Issue number1
DOIs
Publication statusPublished - Dec 1 2010

Fingerprint

Cobordism
Fiber
Stable Map
Projective plane
Argand diagram
Signature
Theorem
Class

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

Cite this

Singular fibers And 4-dimensional cobordism group. / Saeki, Osamu.

In: Pacific Journal of Mathematics, Vol. 248, No. 1, 01.12.2010, p. 233-256.

Research output: Contribution to journalArticle

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