Rings of $SL_2({\mathbb C})$-Characters and the Kauffman Bracket Skein Module
| dc.creator | Bullock, Doug | |
| dc.date | 1996-04-20 | |
| dc.date.accessioned | 2026-07-07T09:16:55Z | |
| dc.date.available | 2026-07-07T09:16:55Z | |
| dc.description | Let $M$ be a compact orientable 3-manifold. The set of characters of $SL_2({\mathbb C})$ representations of the fundamental group of $M$ forms a closed affine algebraic set. We show that its coordinate ring is isomorphic to a specialization of the Kauffman bracket skein module modulo its nilradical. This is accomplished by making the module into a combinatorial analog of the ring, in which tools of skein theory are exploited to illuminate relations among characters. We conclude with an application, proving that a small manifold's specialized module is necessarily finite dimensional. | |
| dc.description | LaTeX2e v1.2, document class amsart.cls with package epsfig, 18 pages, 9 figures | |
| dc.identifier | https://arxiv.org/abs/q-alg/9604014 | |
| dc.identifier | http://arxiv.org/abs/q-alg/9604014 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/153523 | |
| dc.subject | Quantum Algebra | |
| dc.subject | 57M99 | |
| dc.title | Rings of $SL_2({\mathbb C})$-Characters and the Kauffman Bracket Skein Module | |
| dc.type | text |