Crossing change maps in filtered grid homology

2023/03/07 by Matthew S. Kendall, Kendall, Matthew
Computer Science · Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #FOS: Mathematics #Geometric Topology (math.GT) #Homotopy and Cohomology in Algebraic Topology #Topological and Geometric Data Analysis

paper · pdf · doi:10.48550/arxiv.2303.04227

openalex publication_date 2023/03/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We extend the crossing-change maps between grid complexes, defined by Ozsváth-Szabó-Stipsicz, to filtered grid complexes and give a combinatorial formulation of the Alishahi-Eftekhary \mathfrakl(K) knot invariant.

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