Quantum Topology· 2026Q1
New Heegaard Floer slice genus and clasp number bounds
- 3citations
- Q1SCImago
- 2026year
Short summary
New concordance invariants derived from knot Floer homology provide improved bounds for slice genus and clasp number, surpassing existing Heegaard Floer homology bounds.
AI-generated from the title and abstract; the full text is not read.
Key points
- New concordance invariants are defined using knot Floer homology.
- These invariants yield improved bounds for slice genus and clasp number.
- The new bounds surpass existing ones from Heegaard Floer homology.
- Hendricks and Manolescu's involutive correction terms also provide slice genus and clasp number bounds.
AI-generated from the title and abstract; the full text is not read.
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.
The authors' abstract, as published at the source. Quantum Topology, 2026 · DOI ↗
Continue with a free account
Ask the paper: 3 free questions a day about this paper; save it, get its citation, new summaries every day for your field. Takeaways are Premium.
Continue free on the webSign in with Google or Apple; no card needed. You come back to this paper.
On your phone:
Field: Geometry and Topology
Geometry and TopologyMathematics