Tielman, Bo Boy (2025) Almost Invariants for Framed and Spin 3-Manifolds via Hopf Algebras. Master's Thesis / Essay, Mathematics.
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Abstract
In 2021, Serban Matei Mihalache, Sakie Suzuki and Yuji Terashima submitted a paper that constructs invariants of closed 3-manifolds using involutory Hopf algebras. In this paper we will follow their construction without assuming the Hopf algebra is involutory. Instead, we will assume there exist some invertible involutive element $u \in H^*$ such that applying the dual antipode squared is equal to conjugation by $u$. i.e. $(S^*)^2(x) = u^{-1}xu$, and $u = u^{-1}$. We get an almost invariant of framed and spin manifolds. Our construction will be invariant up to the $\Omega0$ move.
| Item Type: | Thesis (Master's Thesis / Essay) |
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| Supervisor name: | Veen, R.I. van der and Gorbe, T.F. |
| Degree programme: | Mathematics |
| Thesis type: | Master's Thesis / Essay |
| Language: | English |
| Date Deposited: | 23 Sep 2025 07:43 |
| Last Modified: | 23 Sep 2025 07:43 |
| URI: | https://fse.studenttheses.ub.rug.nl/id/eprint/37047 |
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