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2017 Quasistabilization and basepoint moving maps in link Floer homology
Ian Zemke
Algebr. Geom. Topol. 17(6): 3461-3518 (2017). DOI: 10.2140/agt.2017.17.3461

Abstract

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.

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Ian Zemke. "Quasistabilization and basepoint moving maps in link Floer homology." Algebr. Geom. Topol. 17 (6) 3461 - 3518, 2017. https://doi.org/10.2140/agt.2017.17.3461

Information

Received: 3 June 2016; Revised: 10 October 2016; Accepted: 14 November 2016; Published: 2017
First available in Project Euclid: 16 November 2017

zbMATH: 06791655
MathSciNet: MR3709653
Digital Object Identifier: 10.2140/agt.2017.17.3461

Subjects:
Primary: 57M25, 57M27, 57R58

Rights: Copyright © 2017 Mathematical Sciences Publishers

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Vol.17 • No. 6 • 2017
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