The next-to-top term in knot Floer homology

2021/04/29 by Yi Ni, Ni, Yi · 2 citations
Mathematics · #57K18 #FOS: Mathematics #Geometric Topology (math.GT) #math.GT #msc:57K18

paper · pdf · doi:10.48550/arxiv.2104.14687

10 pages

arxiv created 2021/04/29 · arxiv updated 2021/05/03

Abstract

Let K be a null-homologous knot in a generalized L-space Z with b₁(Z)≤1. Let F be a Seifert surface of K with genus g. We show that if \widehatHFK(Z,K,[F],g) is supported in a single \mathbb Z/2\mathbb Z--grading, then rank\widehatHFK(Z,K,[F],g-1)\gerank\widehatHFK(Z,K,[F],g).

Cited by

• Second-to-Top Term of HFK of Closed 3-Braids
• The next-to-top term of the knot Floer homology of some non-fibered knots
• Knot Floer homology of positive braids

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