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Quasistabilization and
basepoint moving maps in link Floer homology
Ian Zemke |
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Algebraic & Geometric Topology 17 (2017) 3461–3518
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Abstract |
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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 . 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. |
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Keywords
Heegaard Floer homology, knot invariants, link invariants
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Mathematical Subject Classification 2010
Primary: 57M25, 57M27, 57R58
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References |
Publication
Received: 3 June 2016
Revised: 10 October 2016
Accepted: 14 November 2016
Published: 4 October 2017
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Authors |
| Ian Zemke | |
| Department of Mathematics University of California, Los Angeles 520 Portola Plaza Los Angeles, CA 90025 United States |
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