On the Kauffman skein modules |
| |
Authors: | Jianyuan K Zhong Bin Lu |
| |
Institution: | (1) Department of Mathematics & Statistics, Louisiana Tech University, Ruston, LA 71272, USA. e-mail: kzhong@coes.latech.edu, US;(2) Department of Mathematics, The University of Arizona, Tucson, AZ 85721, USA. e-mail: binlu@math.arizona.edu, US |
| |
Abstract: | Let k be a subring of the field of rational functions in α, s which contains α
±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 k-module freely generated by isotopy classes of framed links in M modulo the Kauffman skein relations. In the case of , 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
× S
2
is freely generated by the empty link, i.e., .
Received: 20 October 2001 / Revised version: 20 March 2002 |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|