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March 2021 On Sign Assignments in Link Floer Homology
Eaman Eftekhary
Michigan Math. J. 70(1): 207-212 (March 2021). DOI: 10.1307/mmj/1592013614

Abstract

In this short note, we compare the combinatorial sign assignment of Manolescu, Ozsváth, Szabó, and Thurston for grid homology of knots and links in S3 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.

Citation

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Eaman Eftekhary. "On Sign Assignments in Link Floer Homology." Michigan Math. J. 70 (1) 207 - 212, March 2021. https://doi.org/10.1307/mmj/1592013614

Information

Received: 7 January 2019; Revised: 19 February 2019; Published: March 2021
First available in Project Euclid: 13 June 2020

Digital Object Identifier: 10.1307/mmj/1592013614

Subjects:
Primary: 57M27, 57R58

Rights: Copyright © 2021 The University of Michigan

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Vol.70 • No. 1 • March 2021
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