2-knot homology and Roseman move

2019/09/16 by Hiroshi Matsuda, Matsuda, Hiroshi
Mathematics · Medicine · #Botulinum Toxin and Related Neurological Disorders #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology

paper · pdf · doi:10.48550/arxiv.1909.07024

openalex publication_date 2019/09/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Ng constructed an invariant of knots in ℝ³, a combinatorial knot contact homology. Extending his study, we construct an invariant of surface-knots in ℝ⁴ using diagrams in ℝ³.

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