Chromatic spherical invariant and Hennings invariant of 3-dimensional manifolds
Fuente:
arXiv
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866913932326731776 |
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| author | Reina, Julie |
| author_facet | Reina, Julie |
| contents | This paper establishes a relation between two invariants of $3$-dimensional manifolds: the chromatic spherical invariant $\mathcal{K}$ and the Hennings-Kauffman-Radford invariant $\operatorname{HKR}$. We show that, for a spherical Hopf algebra $H$, the invariant $\mathcal{K}$ associated to the pivotal category of finite-dimensional $H$-modules is equal to the invariant $\operatorname{HKR}$ associated to the Drinfeld double $D(H)$ of the same Hopf algebra. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_06019 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Chromatic spherical invariant and Hennings invariant of 3-dimensional manifolds Reina, Julie Geometric Topology Quantum Algebra 57M27, 16T05, 57R56 This paper establishes a relation between two invariants of $3$-dimensional manifolds: the chromatic spherical invariant $\mathcal{K}$ and the Hennings-Kauffman-Radford invariant $\operatorname{HKR}$. We show that, for a spherical Hopf algebra $H$, the invariant $\mathcal{K}$ associated to the pivotal category of finite-dimensional $H$-modules is equal to the invariant $\operatorname{HKR}$ associated to the Drinfeld double $D(H)$ of the same Hopf algebra. |
| title | Chromatic spherical invariant and Hennings invariant of 3-dimensional manifolds |
| topic | Geometric Topology Quantum Algebra 57M27, 16T05, 57R56 |
| url | https://arxiv.org/abs/2507.06019 |