Rasmussen invariants of Whitehead doubles and other satellites
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_ | 1866912616082833408 |
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| author | Lewark, Lukas Zibrowius, Claudius |
| author_facet | Lewark, Lukas Zibrowius, Claudius |
| contents | We prove formulae for the $\mathbb{F}_2$-Rasmussen invariant of satellite knots of patterns with wrapping number 2, using the multicurve technology for Khovanov and Bar-Natan homology developed by Kotelskiy, Watson, and the second author. A new concordance homomorphism, which is independent of the Rasmussen invariant, plays a central role in these formulae. We also explore whether similar formulae hold for the Ozsváth-Szabó invariant $τ$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2208_13612 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Rasmussen invariants of Whitehead doubles and other satellites Lewark, Lukas Zibrowius, Claudius Geometric Topology Quantum Algebra Symplectic Geometry 57K10, 57K18 We prove formulae for the $\mathbb{F}_2$-Rasmussen invariant of satellite knots of patterns with wrapping number 2, using the multicurve technology for Khovanov and Bar-Natan homology developed by Kotelskiy, Watson, and the second author. A new concordance homomorphism, which is independent of the Rasmussen invariant, plays a central role in these formulae. We also explore whether similar formulae hold for the Ozsváth-Szabó invariant $τ$. |
| title | Rasmussen invariants of Whitehead doubles and other satellites |
| topic | Geometric Topology Quantum Algebra Symplectic Geometry 57K10, 57K18 |
| url | https://arxiv.org/abs/2208.13612 |