KBSM of the product of a disk with two holes and S^{1}

We introduce diagrams and Reidemeister moves for links in FxS^{1}, where F is an orientable surface. Using these diagrams we compute (in a new way) the Kauffman Bracket Skein Modules (KBSM) for D^{2}xS^{1} and AxS^{1}, where D^{2} is a disk and A is an annulus. Moreover, we also find the KBSM for th...

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Bibliographic Details
Published in:arXiv.org 2008-08
Main Authors: Dabkowski, Mieczyslaw K, Mroczkowski, Maciej
Format: Article
Language:English
Subjects:
Modules
Online Access:Get full text
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Summary:We introduce diagrams and Reidemeister moves for links in FxS^{1}, where F is an orientable surface. Using these diagrams we compute (in a new way) the Kauffman Bracket Skein Modules (KBSM) for D^{2}xS^{1} and AxS^{1}, where D^{2} is a disk and A is an annulus. Moreover, we also find the KBSM for the F_{0,3}xS^{1}, where F_{0,3} denotes a disk with two holes, and thus show that the module is free.
ISSN:2331-8422