An Extension of Khovanov Homology to Immersed Surface Cobordisms
Fuente:
arXiv
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| Auteurs principaux: | , , , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866915610403799040 |
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| author | Carter, Scott Cooper, Benjamin Khovanov, Mikhail Krushkal, Vyacheslav |
| author_facet | Carter, Scott Cooper, Benjamin Khovanov, Mikhail Krushkal, Vyacheslav |
| contents | We show that an oriented surface in $\mathbb{R}^4$ containing double point singularities induces a map between the Khovanov homology groups of its boundary links in a functorial way. As part of this work, the movie moves of Carter and Saito are extended to surfaces with double points. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_14760 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | An Extension of Khovanov Homology to Immersed Surface Cobordisms Carter, Scott Cooper, Benjamin Khovanov, Mikhail Krushkal, Vyacheslav Geometric Topology Quantum Algebra We show that an oriented surface in $\mathbb{R}^4$ containing double point singularities induces a map between the Khovanov homology groups of its boundary links in a functorial way. As part of this work, the movie moves of Carter and Saito are extended to surfaces with double points. |
| title | An Extension of Khovanov Homology to Immersed Surface Cobordisms |
| topic | Geometric Topology Quantum Algebra |
| url | https://arxiv.org/abs/2510.14760 |