Splicing knot complements and bordered floer homology

Matthew Hedden, Adam Simon Levine

Research output: Contribution to journalArticle

4 Scopus citations

Abstract

We show that the integer homology sphere obtained by splicing two nontrivial knot complements in integer homology sphere L-spaces has Heegaard Floer homology of rank strictly greater than one. In particular, splicing the complements of nontrivial knots in the 3-sphere never produces an L-space. The proof uses bordered Floer homology.

Original languageEnglish (US)
Pages (from-to)129-154
Number of pages26
JournalJournal fur die Reine und Angewandte Mathematik
Volume2016
Issue number720
DOIs
StatePublished - Nov 2016

All Science Journal Classification (ASJC) codes

  • Mathematics(all)
  • Applied Mathematics

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