A signature invariant for stable maps of 3-manifolds into surfaces

研究成果: Contribution to journalArticle査読

抄録

Based on the signature formula for stable maps of closed oriented 4-manifolds into 3-manifolds, the author defined a Vassiliev type invariant of order one for stable maps of closed oriented 3-manifolds into surfaces. In this paper, we give an intrinsic formula for the invariant in terms of a certain linking form associated with a stable map for the 3-manifold. As a corollary, we get a signature formula for 4-manifolds with boundary in terms of their singular fibers of stable maps.

本文言語英語
ページ(範囲)541-563
ページ数23
ジャーナルREVUE ROUMAINE DE MATHEMATIQUES PURES ET APPLIQUEES
64
4
出版ステータス出版済み - 2019

All Science Journal Classification (ASJC) codes

  • Mathematics(all)
  • Applied Mathematics

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