Multiplicative structure of Kauffman bracket skein module quantizations
| dc.creator | Bullock, Doug | |
| dc.creator | Przytycki, Jozef H. | |
| dc.date | 1999-02-20 | |
| dc.date.accessioned | 2026-07-07T05:27:58Z | |
| dc.date.available | 2026-07-07T05:27:58Z | |
| dc.description | We describe, for a few small examples, the Kauffman bracket skein algebra of a surface crossed with an interval. If the surface is a punctured torus the result is a quantization of the symmetric algebra in three variables (and an algebra closely related to a cyclic quantization of $U(so_3$). For a torus without boundary we obtain a quantization of "the symmetric homologies" of a torus (equivalently, the coordinate ring of the $SL_2(C)$-character variety of $Z \oplus Z$). Presentations are also given for the four punctured sphere and twice punctured torus. We conclude with an investigation of central elements and zero divisors. | |
| dc.identifier | https://arxiv.org/abs/math/9902117 | |
| dc.identifier | http://arxiv.org/abs/math/9902117 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/78130 | |
| dc.subject | Quantum Algebra | |
| dc.subject | 57M99 | |
| dc.title | Multiplicative structure of Kauffman bracket skein module quantizations | |
| dc.type | text |