Algebraic & Geometric Topology
- Algebr. Geom. Topol.
- Volume 17, Number 6 (2017), 3461-3518.
Quasistabilization and basepoint moving maps in link Floer homology
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.
Algebr. Geom. Topol., Volume 17, Number 6 (2017), 3461-3518.
Received: 3 June 2016
Revised: 10 October 2016
Accepted: 14 November 2016
First available in Project Euclid: 16 November 2017
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Zemke, Ian. Quasistabilization and basepoint moving maps in link Floer homology. Algebr. Geom. Topol. 17 (2017), no. 6, 3461--3518. doi:10.2140/agt.2017.17.3461. https://projecteuclid.org/euclid.agt/1510841513