New Heegaard Floer slice genus and clasp number bounds

We define several concordance invariants using knot Floer homology, which give improvements over known slice genus and clasp number bounds from Heegaard Floer homology. We also prove that the involutive correction terms of Hendricks and Manolescu give both a slice genus and a clasp number bound.

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Publication Details

Journal
Quantum Topology
Published
2026-10-13
DOI
https://doi.org/10.4171/qt/268
Citations
3
Primary Topic
Geometric and Algebraic Topology
Type
article
Field-Weighted Citation Impact
0.00
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article

New Heegaard Floer slice genus and clasp number bounds

András Juhász, Ian Zemke
3 citations
Quantum Topology
Geometric and Algebraic Topology
article

New Heegaard Floer slice genus and clasp number bounds

András Juhász, Ian Zemke
article en
3 citations

Abstract

We define several concordance invariants using knot Floer homology, which give improvements over known slice genus and clasp number bounds from Heegaard Floer homology. We also prove that the involutive correction terms of Hendricks and Manolescu give both a slice genus and a clasp number bound.

Quantum Topology
University of Oregon (US), University of Oxford (GB)
Openalex Percentile: Top 100%
Geometric and Algebraic Topology
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