Article ID Journal Published Year Pages File Type
4660720 Topology and its Applications 2009 19 Pages PDF
Abstract

We introduce diagrams and Reidemeister moves for links in F×S1, where F is an orientable surface. Using these diagrams we compute (in a new way) the Kauffman Bracket Skein Modules (KBSM) for D2×S1 and A×S1, where D2 is a disk and A is an annulus. Moreover, we also find the KBSM for the F0,3×S1, where F0,3 denotes a disk with two holes, and thus show that the module is free.

Related Topics
Physical Sciences and Engineering Mathematics Geometry and Topology