Quasistabilization and basepoint moving maps in link floer homology

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17 Scopus citations


We analyze the effect of adding, removing, and moving basepoints on link Floer homology. We prove that adding or removing basepoints via a procedure called quasistabilization is a natural operation on a certain version of link Floer homology, which we call CFLUV. We consider the effect on the full link Floer complex of moving basepoints, and develop a simple calculus for moving basepoints on the link Floer complexes. We apply it to compute the effect of several diffeomorphisms corresponding to moving basepoints. Using these techniques we prove a conjecture of Sarkar about the map on the full link Floer complex induced by a finger move along a link component.

Original languageEnglish (US)
Pages (from-to)3461-3518
Number of pages58
JournalAlgebraic and Geometric Topology
Issue number6
StatePublished - Oct 4 2017
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Geometry and Topology


  • Heegaard Floer homology
  • Knot invariants
  • Link invariants


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