The skein algebra of the Borromean rings complement
The skein algebra of an oriented \(3\)-manifold is a classical limit of the Kauffman bracket skein module and gives the coordinate ring of the \(SL_2(\mathbb{C})\)-character variety. In this paper we determine the quotient of a polynomial ring which is isomorphic to the skein algebra of a group with...
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| creator | Miura, Go Suzuki, Sakie |
| description | The skein algebra of an oriented \(3\)-manifold is a classical limit of the Kauffman bracket skein module and gives the coordinate ring of the \(SL_2(\mathbb{C})\)-character variety. In this paper we determine the quotient of a polynomial ring which is isomorphic to the skein algebra of a group with three generators and two relators. As an application, we give an explicit formula for the skein algebra of the Borromean rings complement in \(S^3\). |
| doi_str_mv | 10.48550/arxiv.2108.02884 |
| format | Article |
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| subjects | Algebra Group theory Mathematical analysis Mathematics - Geometric Topology Polynomials Quotients Rings (mathematics) Skeins |
| title | The skein algebra of the Borromean rings complement |
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