A note on a Geography problem in knot Floer homology

2020/10/02 by Subhankar Dey, Dey, Subhankar
Biochemistry, Genetics and Molecular Biology · Computer Science · Mathematics · #57K10 #57K18 #57K33 #Cellular transport and secretion #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology #semigroups and automata theory

paper · pdf · doi:10.48550/arxiv.2010.01205

openalex publication_date 2020/10/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We prove that knot Floer homology of a certain class of knots is non-trivial in next-to-top Alexander grading. This gives a partial affirmative answer to a question posed by Baldwin and Vela-Vick which asks if the same is true for all non-trivial knots in S³.

Citations

• Floer homology and knot complements
• Holomorphic disks and topological invariants for closed three-manifolds
• Transverse and Legendrian invariants of cables in combinatorial link Floer homology

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