Mathematics > Geometric Topology
[Submitted on 30 Apr 2024 (v1), last revised 3 May 2024 (this version, v2)]
Title:Obstruction Complexes in Grid Homology
View PDF HTML (experimental)Abstract: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.
Submission history
From: Yan Tao [view email][v1] Tue, 30 Apr 2024 17:51:36 UTC (26 KB)
[v2] Fri, 3 May 2024 19:02:52 UTC (26 KB)
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