Intrinsic Khovanov homology in $\mathbb{RP}^3$
Fuente:
arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866915527380697088 |
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| author | Ren, Qiuyu Yang, Hongjian |
| author_facet | Ren, Qiuyu Yang, Hongjian |
| contents | We prove that Khovanov homology is an invariant of links in unparametrized $\mathbb{RP}^3$'s, i.e., oriented $3$-manifolds diffeomorphic to $\mathbb{RP}^3$. Along the way, we establish the functoriality of Khovanov homology for link cobordisms in $I\times\mathbb{RP}^3$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_00109 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Intrinsic Khovanov homology in $\mathbb{RP}^3$ Ren, Qiuyu Yang, Hongjian Geometric Topology 57K18 We prove that Khovanov homology is an invariant of links in unparametrized $\mathbb{RP}^3$'s, i.e., oriented $3$-manifolds diffeomorphic to $\mathbb{RP}^3$. Along the way, we establish the functoriality of Khovanov homology for link cobordisms in $I\times\mathbb{RP}^3$. |
| title | Intrinsic Khovanov homology in $\mathbb{RP}^3$ |
| topic | Geometric Topology 57K18 |
| url | https://arxiv.org/abs/2510.00109 |