Year: 2024
Type: article
Abstract: Grid homology, a combinatorial version of link Floer homology introduced by Manolescu, Ozsváth, Szabó, Thurston [On combinatorial link Floer homology, Geom. Topol. 11 (2007) 2339–2412, MR 2372850], has been extended to transverse spatial graphs by Harvey and O’Donnol [Heegaard Floer homology of spatial graphs, Algebr. Geom. Topol. 17(3) (2017) 1445–1525, MR 3677933]. In this paper, we define grid homology for MOY graphs, a specific class of transverse spatial graphs, and show properties such as the oriented skein relation, the effect of contracting an edge, and the effect of uniting parallel edges with the same orientation.
Author: Hajime Kubota
Institution: Kyoto University
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W4405259750