Obstruction to Equivariant Ribbon Concordance
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866909762985132032 |
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| author | Jafarizadeh, Siavash |
| author_facet | Jafarizadeh, Siavash |
| contents | A periodic link, is link in $S^3$ with action of $\mathbb{Z}_p$ by rotation with $2π/p$ around a fixed unknot $U$. The equivariant Khovanov homology of periodic links has been studied in \cite{BP17}. We prove that the equivariant Khovanov homology for periodic links is functorial under equivariant cobordisms. Furthere more, we show that equivariant ribbon concordances induce a split injection on equivariant Khovanov homology. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_00671 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Obstruction to Equivariant Ribbon Concordance Jafarizadeh, Siavash Geometric Topology A periodic link, is link in $S^3$ with action of $\mathbb{Z}_p$ by rotation with $2π/p$ around a fixed unknot $U$. The equivariant Khovanov homology of periodic links has been studied in \cite{BP17}. We prove that the equivariant Khovanov homology for periodic links is functorial under equivariant cobordisms. Furthere more, we show that equivariant ribbon concordances induce a split injection on equivariant Khovanov homology. |
| title | Obstruction to Equivariant Ribbon Concordance |
| topic | Geometric Topology |
| url | https://arxiv.org/abs/2509.00671 |