2019/04/25 by Subhankar Dey, Dey, Subhankar · 1 citation
Computer Science · Mathematics · #57M25 #57M27 #57R58 #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology #semigroups and automata theory
paper · pdf · doi:10.48550/arxiv.1904.11591
openalex publication_date 2019/04/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Using the Bordered Floer theory of Lipshitz-Ozsváth-Thurston we prove that the (p,q)-cables of any non-trivial knots are not Heegaard Floer homologically thin. Using the proof and a theorem of Zemke, we find a larger set of satellite knots which is a proper superset of the set of all cable knots, having the same property.