New Heegaard Floer slice genus and clasp number bounds

2020/07/14 by András Juhász, Juhász, András, Ian Zemke +1
Mathematics · #Geometric and Algebraic Topology #Advanced Combinatorial Mathematics #Homotopy and Cohomology in Algebraic Topology

paper · pdf · doi:10.48550/arxiv.2007.07106

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.

Citations

• Holomorphic disks and topological invariants for closed three-manifolds
• Concordance homomorphisms from knot Floer homology

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