Knot doubling operators and bordered heegaard floer homology

Adam Simon Levine

Research output: Contribution to journalArticle

9 Scopus citations

Abstract

We use bordered Heegaard Floer homology to compute the τ invariant of a family of satellite knots obtained via twisted infection along two components of the Borromean rings, a generalization of Whitehead doubling. We show that τ of the resulting knot depends only on the two twisting parameters and the values of τ for the two companion knots. We also include some notes on bordered Heegaard Floer homology that may serve as a useful introduction to the subject.

Original languageEnglish (US)
Article numberjts021
Pages (from-to)651-712
Number of pages62
JournalJournal of Topology
Volume5
Issue number3
DOIs
StatePublished - Sep 2012

All Science Journal Classification (ASJC) codes

  • Geometry and Topology

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