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On sign assignments in link Floer homology

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Eftekhary,  Eaman
Max Planck Institute for Mathematics, Max Planck Society;

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Citation

Eftekhary, E. (2021). On sign assignments in link Floer homology. Michigan Mathematical Journal, 70(1), 207-212. doi:10.1307/mmj/1592013614.


Cite as: https://hdl.handle.net/21.11116/0000-0009-FCCF-3
Abstract
In this short note, we compare the combinatorial sign assignment of
Manolescu, Ozsvath, Szabo and Thurston for grid homology of knots and links in
3-sphere with the sign assignment coming from a coherent system of orientations
on Whitney disks. Although these constructions produce different signs, a small
modification of the convention in either of the two methods results in
identical sign assignments, and thus identical chain complexes.