On the values taken by slice torus invariants

DOI10.1017/s0305004123000403arXiv2202.13818OpenAlexW4386096639MaRDI QIDQ6142647

Andrew Lobb, Peter Feller, Lukas Lewark

Publication date: 4 January 2024

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2202.13818

zbMATH Keywords

smooth concordance groupsmooth slice genusslice torus invariantssqueezed knots

Mathematics Subject Classification ID

Knot theory (57K10) Homology theories in knot theory (Khovanov, Heegaard-Floer, etc.) (57K18)

Cites Work

• A note on Gornik's perturbation of Khovanov-Rozansky homology
• The stable 4-genus of knots
• Khovanov homology and the slice genus
• A slice genus lower bound from \(sl(n)\) Khovanov-Rozansky homology
• On the quantum filtration of the Khovanov-Rozansky cohomology
• Topology of low-dimensional manifolds. Proceedings of the second Sussex conference, 1977
• Gauge theory for embedded surfaces. I
• Knot Floer homology and the four-ball genus
• Computations of the Ozsvath-Szabo knot concordance invariant
• Optimal cobordisms between torus knots
• Gordian adjacency for torus knots
• Rasmussen's spectral sequences and the \(\mathfrak{sl}_N\)-concordance invariants
• Scissor equivalence for torus links
• Computable bounds for Rasmussen’s concordance invariant
• Quasipositivity as an obstruction to sliceness

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