On the gauge invariance of the Kuperberg invariant of certain high genus framed 3-manifolds
Fuente:
arXiv
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Preprint |
| Published: |
2026
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866908791307501568 |
|---|---|
| author | Chang, Liang Wang, Yilong Zhai, Saifei |
| author_facet | Chang, Liang Wang, Yilong Zhai, Saifei |
| contents | We show that the Kuperberg invariant of the Weeks manifold with any framing is a gauge invariant of finite-dimensional Hopf algebras, which provides the first example of gauge invariants of general finite-dimensional Hopf algebras via hyperbolic 3-manifolds. We also show that the Kuperberg invariant of the 3-torus is gauge invariant, which further supports the idea of systematically producing gauge invariants of Hopf algebras via topological methods proposed in \cite{CNW25}. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_19485 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | On the gauge invariance of the Kuperberg invariant of certain high genus framed 3-manifolds Chang, Liang Wang, Yilong Zhai, Saifei Quantum Algebra Geometric Topology Rings and Algebras We show that the Kuperberg invariant of the Weeks manifold with any framing is a gauge invariant of finite-dimensional Hopf algebras, which provides the first example of gauge invariants of general finite-dimensional Hopf algebras via hyperbolic 3-manifolds. We also show that the Kuperberg invariant of the 3-torus is gauge invariant, which further supports the idea of systematically producing gauge invariants of Hopf algebras via topological methods proposed in \cite{CNW25}. |
| title | On the gauge invariance of the Kuperberg invariant of certain high genus framed 3-manifolds |
| topic | Quantum Algebra Geometric Topology Rings and Algebras |
| url | https://arxiv.org/abs/2601.19485 |