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On the values taken by slice torus invariants
Feller, Peter, Lewark, Lukas and Lobb, Andrew (2023) On the values taken by slice torus invariants. Mathematical Proceedings of the Cambridge Philosophical Society 176 (1), pp. 55-63.Date of publication of this fulltext: 16 Nov 2023 15:22
Article
DOI to cite this document: 10.5283/epub.55015
Abstract
We study the space of slice torus invariants. In particular we characterise 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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| Item type | Article | ||||
| Journal or Publication Title | Mathematical Proceedings of the Cambridge Philosophical Society | ||||
| Publisher: | Cambridge (CUP) | ||||
|---|---|---|---|---|---|
| Open Access Type: | Cambridge Univ. Press (Hybrid) | ||||
| Volume: | 176 | ||||
| Number of Issue or Book Chapter: | 1 | ||||
| Page Range: | pp. 55-63 | ||||
| Date | 23 August 2023 | ||||
| Institutions | Mathematics | ||||
| Identification Number |
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| Dewey Decimal Classification | 500 Science > 510 Mathematics | ||||
| Status | Published | ||||
| Refereed | Yes, this version has been refereed | ||||
| Created at the University of Regensburg | Partially | ||||
| URN of the UB Regensburg | urn:nbn:de:bvb:355-epub-550151 | ||||
| Item ID | 55015 |
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