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ISSN (electronic): 1472-2739
ISSN (print): 1472-2747
Grid diagrams and Manolescu's unoriented skein exact triangle for knot Floer homology

C-M Michael Wong

Algebraic & Geometric Topology 17 (2017) 1283–1321
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.

Keywords
knot Floer homology, grid diagrams, grid homology, unoriented skein
Mathematical Subject Classification 2010
Primary: 57R58
Secondary: 57M25, 57M27
References
Publication
Received: 26 May 2013
Revised: 9 September 2016
Accepted: 5 January 2017
Published: 17 July 2017
Authors
C-M Michael Wong
Department of Mathematics
Columbia University
New York, NY 10027
United States
http://www.math.columbia.edu/~cmmwong