On the Kauffman skein modules
| dc.creator | Zhong, Jianyuan K. | |
| dc.creator | Lu, Bin | |
| dc.date | 2001-10-18 | |
| dc.date.accessioned | 2026-07-07T04:43:56Z | |
| dc.date.available | 2026-07-07T04:43:56Z | |
| dc.description | Let k be a subring of the field of rational functions in α, s which contains α^{1}, α^{-1}, s^{1}, s^{-1}, . Let M be a compact oriented 3-manifold, and let K(M) denote the Kauffman skein module of M over k. Then K(M) is the free k-module generated by isotopy classes of framed links in M modulo the Kauffman skein relations. In the case of k={Q}(α, s), the field of rational functions in α, s, we give a basis for the Kauffman skein module of the solid torus and a basis for the relative Kauffman skein module of the solid torus with two points on the boundary. We then show that K(S^{1} \times S^2) is generated by the empty link, i.e., K(S^{1} \times S^2)=k. | |
| dc.description | 17 pages, 44 figures, amslatex, using epsf.tex | |
| dc.identifier | https://arxiv.org/abs/math/0110200 | |
| dc.identifier | http://arxiv.org/abs/math/0110200 | |
| dc.identifier | Manuscripta Mathematica, 109 (2002) 1, 29-47. | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/62434 | |
| dc.subject | Geometric Topology | |
| dc.subject | Quantum Algebra | |
| dc.subject | 57M | |
| dc.title | On the Kauffman skein modules | |
| dc.type | text |