Knot Floer Filtration Classes of Topologically Slice Knots

2013/09/08 by Joshua P. Tobin, Tobin, Joshua
Computer Science · Mathematics · #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.1309.1999

openalex publication_date 2013/09/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The knot Floer complex and the concordance invariant ε can be used to define a filtration on the smooth concordance group. We exhibit an ordered subset of this filtration that is isomorphic to ℕ × ℕ and consists of topologically slice knots.

Citations

• Bordered Heegaard Floer homology
• Holomorphic disks and knot invariants

Related

• The bipolar filtration of topologically slice knots
• Primary decomposition in the smooth concordance group of topologically slice knots
• Equivariant knots and knot Floer homology
• On the concordance genus of topologically slice knots
• Order in the concordance group and Heegaard Floer homology