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2017 Grid diagrams and Manolescu's unoriented skein exact triangle for knot Floer homology
Michael Wong
Algebr. Geom. Topol. 17(3): 1283-1321 (2017). DOI: 10.2140/agt.2017.17.1283

Abstract

We rederive Manolescu’s unoriented skein exact triangle for knot Floer homology over F2 combinatorially using grid diagrams, and extend it to the case with  coefficients by sign refinements. Iteration of the triangle gives a cube of resolutions that converges to the knot Floer homology of an oriented link. Finally, we reestablish the homological σ–thinness of quasialternating links.

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Michael Wong. "Grid diagrams and Manolescu's unoriented skein exact triangle for knot Floer homology." Algebr. Geom. Topol. 17 (3) 1283 - 1321, 2017. https://doi.org/10.2140/agt.2017.17.1283

Information

Received: 26 May 2013; Revised: 9 September 2016; Accepted: 5 January 2017; Published: 2017
First available in Project Euclid: 16 November 2017

zbMATH: 1373.57051
MathSciNet: MR3677929
Digital Object Identifier: 10.2140/agt.2017.17.1283

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

Rights: Copyright © 2017 Mathematical Sciences Publishers

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Vol.17 • No. 3 • 2017
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