Abstract
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Recently, Manolescu–Sarkar constructed a stable homotopy-type for link Floer
homology, which uses grid homology and accounts for all domains that do not pass
through a specific square. In doing so, they produced an obstruction chain complex of
the grid diagram with that square removed. We define the obstruction chain complex
of the full grid, without the square removed, and compute its homology. Though this
homology is too complicated to immediately extend the Manolescu–Sarkar
construction, we give results about the existence of sign assignments in grid
homology.
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Keywords
link Floer, stable homotopy-type, spectrum, sign assignment
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Mathematical Subject Classification
Primary: 57K18
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Milestones
Received: 13 May 2024
Revised: 1 August 2024
Accepted: 6 September 2024
Published: 30 October 2024
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| © 2024 MSP (Mathematical Sciences
Publishers). Distributed under the Creative Commons
Attribution License 4.0 (CC BY). |
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