Link homology in 4-manifolds

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Abstract

We define link homology in 4-manifolds, and show that it has a close connection to linking numbers and intersection matrices of 4-manifolds. We also define null-homologous links in 4-manifolds. We give a necessary and sufficient condition for links to be null-homologous in 4-manifolds. This condition implies that for any 4-manifold with second Betti number n, there are (n+2)-component links which are not null-homologous in the 4-manifold.

Original languageEnglish
Pages (from-to)409-412
Number of pages4
JournalBulletin of the London Mathematical Society
Volume28
Issue number4
DOIs
Publication statusPublished - 1996 Jul
Externally publishedYes

ASJC Scopus subject areas

  • Mathematics(all)

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