Grid diagrams and Manolescu's unoriented skein exact triangle for knot Floer homology

C. -M. Michael Wong

doi:10.2140/agt.2017.17.1283

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arXiv · 1305.2562

Grid diagrams and Manolescu's unoriented skein exact triangle for knot Floer homology

C. -M. Michael Wong

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Abstract

We re-derive Manolescu's unoriented skein exact triangle for knot Floer homology over F_2 combinatorially using grid diagrams, and extend it to the case with Z 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 re-establish the homological sigma-thinness of quasi-alternating links.

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C. -M. Michael Wong. 2013-05-12. Grid diagrams and Manolescu's unoriented skein exact triangle for knot Floer homology. https://doi.org/10.2140/agt.2017.17.1283

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