On Self-Intersection Invariants

Mark Grant*

*Corresponding author for this work

Research output: Contribution to journalArticle

Abstract

We prove that the Hatcher-Quinn and Wall invariants of a self-transverse immersion f: N-n (sic) M-2n coincide. That is, we construct an isomorphism between their target groups, which carries one onto the other. We also employ methods of normal bordism theory to investigate the Hatcher-Quinn invariant of an immersion f: N-n (sic) M2n-1.

Original languageEnglish
Pages (from-to)259-273
Number of pages15
JournalGlasgow Mathematical Journal
Volume55
Issue number2
Early online date2 Aug 2012
DOIs
Publication statusPublished - May 2013

Keywords

  • regular homotopy
  • immersions
  • 3-manifolds
  • manifold
  • 5-space
  • bordism

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