MISC

2012年10月

Oriented bordism of codimension one immersions of 7-manifolds and relative Thom polynomials

MATHEMATISCHE ZEITSCHRIFT
  • Masamichi Takase

272
1-2
開始ページ
101
終了ページ
108
記述言語
英語
掲載種別
DOI
10.1007/s00209-011-0923-6
出版者・発行元
SPRINGER

We give a formula to detect the oriented bordism class of a codimension one immersion of an oriented 7-manifold in terms of singularities of its singular Seifert surface, that is, a generic map from a compact 8-manifold which extends the given immersion. Our argument involves a study of a relative version of the Thom polynomials for certain singularities of generic maps from manifolds with non-empty boundaries.


リンク情報
DOI
https://doi.org/10.1007/s00209-011-0923-6
Web of Science
https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=JSTA_CEL&SrcApp=J_Gate_JST&DestLinkType=FullRecord&KeyUT=WOS:000308646500006&DestApp=WOS_CPL
URL
https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84866266750&origin=inward

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