Geodesic
Quasistabilization and basepoint moving maps in link Floer homology
Zemke, Ian1
1 Department of Mathematics, University of California, Los Angeles, 520 Portola Plaza, Los Angeles, CA 90025, United States
Algebraic and Geometric Topology, Tome 17 (2017) no. 6, pp. 3461-3518

Voir la notice de l'article provenant de la source Mathematical Sciences Publishers

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.

DOI : 10.2140/agt.2017.17.3461
Classification : 57M25, 57M27, 57R58
Keywords: Heegaard Floer homology, knot invariants, link invariants

Zemke, Ian 1

1 Department of Mathematics, University of California, Los Angeles, 520 Portola Plaza, Los Angeles, CA 90025, United States 
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     title = {Quasistabilization and basepoint moving maps in link {Floer} homology},
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Zemke, Ian. Quasistabilization and basepoint moving maps in link Floer homology. Algebraic and Geometric Topology, Tome 17 (2017) no. 6, pp. 3461-3518. doi: 10.2140/agt.2017.17.3461

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