Squeezed Knots
Fuente:
arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2022
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| Acceso en línea: | |
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| _version_ | 1866911286747463680 |
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| author | Feller, Peter Lewark, Lukas Lobb, Andrew |
| author_facet | Feller, Peter Lewark, Lukas Lobb, Andrew |
| contents | Squeezed knots are those knots that appear as slices of genus-minimizing oriented smooth cobordisms between positive and negative torus knots. We show that this class of knots is large and discuss how to obstruct squeezedness. The most effective obstructions appear to come from quantum knot invariants, notably including refinements of the Rasmussen invariant due to Lipshitz-Sarkar and Sarkar-Scaduto-Stoffregen involving stable cohomology operations on Khovanov homology. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2202_12289 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Squeezed Knots Feller, Peter Lewark, Lukas Lobb, Andrew Geometric Topology Quantum Algebra 57K10, 57K18 Squeezed knots are those knots that appear as slices of genus-minimizing oriented smooth cobordisms between positive and negative torus knots. We show that this class of knots is large and discuss how to obstruct squeezedness. The most effective obstructions appear to come from quantum knot invariants, notably including refinements of the Rasmussen invariant due to Lipshitz-Sarkar and Sarkar-Scaduto-Stoffregen involving stable cohomology operations on Khovanov homology. |
| title | Squeezed Knots |
| topic | Geometric Topology Quantum Algebra 57K10, 57K18 |
| url | https://arxiv.org/abs/2202.12289 |