On the values taken by slice torus invariants

Peter Feller; Lukas Lewark; Andrew Lobb

doi:10.1017/s0305004123000403

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arXiv · 2202.13818

On the values taken by slice torus invariants

Peter Feller·Lukas Lewark·Andrew Lobb

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Abstract

We study the space of slice-torus invariants. In particular we characterize the set of values that slice-torus invariants may take on a given knot in terms of the stable smooth slice genus. Our study reveals that the resolution of the local Thom conjecture implies the existence of slice torus invariants without having to appeal to any explicit construction from a knot homology theory.

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BibTeX RIS

Peter Feller, Lukas Lewark, Andrew Lobb. 2022-02-28. On the values taken by slice torus invariants. https://doi.org/10.1017/s0305004123000403

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