On grid homology for lens space links: combinatorial invariance and integral coefficients

Abstract

Following the approach to grid homology of links in $S^3$, we prove combinatorially that the grid homology of links in lens spaces defined by Baker, Grigsby, and Hedden is a link invariant. Further, using the sign assignment defined by Celoria, we prove that the generalization of grid homology to integral coefficients is a link invariant.

41 pages

References in corpus (3)

• Floer homology and knot complements
• Grid Diagrams for Lens Spaces and Combinatorial Knot Floer Homology
• Grid Diagrams and Legendrian Lens Space Links