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Peer-reviewedCC BYQuantum Topology

New Heegaard Floer slice genus and clasp number bounds

  • András Juhász1
  • Ian Zemke2
  1. 1University of Oxford, UK
  2. 2University of Oregon, Eugene, USA
Open at sourceDOICite

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.

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Cite

BibTeXRIS
BibTeX
@article{juhasz2026heegaard,
  title = {{New Heegaard Floer slice genus and clasp number bounds}},
  author = {András Juhász and Ian Zemke},
  journal = {Quantum Topology},
  year = {2026},
  month = oct,
  doi = {10.4171/qt/268},
  url = {https://doi.org/10.4171/qt/268},
  note = {CC BY},
}
RIS
TY  - JOUR
TI  - New Heegaard Floer slice genus and clasp number bounds
AU  - András Juhász
AU  - Ian Zemke
PY  - 2026
DA  - 2026/10/13
JO  - Quantum Topology
DO  - 10.4171/qt/268
UR  - https://doi.org/10.4171/qt/268
AB  - 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.
SN  - 1663-487X
SN  - 1664-073X
ER  -