On the values taken by slice torus invariants
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2022
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| _version_ | 1866914865621237760 |
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| author | Feller, Peter Lewark, Lukas Lobb, Andrew |
| author_facet | Feller, Peter Lewark, Lukas Lobb, Andrew |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2202_13818 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | On the values taken by slice torus invariants Feller, Peter Lewark, Lukas Lobb, Andrew Geometric Topology 57K10, 57K18 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. |
| title | On the values taken by slice torus invariants |
| topic | Geometric Topology 57K10, 57K18 |
| url | https://arxiv.org/abs/2202.13818 |