| Reduced Polynomial of Framed Links in Thickened Torus |
| Received:January 17, 2017 Revised:October 28, 2017 |
| Key Words:
reduced polynomial framed link thickened torus Kauffman bracket skein algebra
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| Fund Project:Supported by Guangdong Province Innovation Talent Project for Youths (Grant No.2015KQNCX107) and Guangdong University of Education Special Fund for Doctoral Research (Grant No.2016ARF06). |
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| Abstract: |
| Framed links in thickened torus is studied. We give an expression of torus knot in the Kauffman bracket skein algebra. From this expression and using the theory of Gr\"{o}bner bases, we drive the reduced polynomial of a framed link, which is an ambient isotopic invariant and can be computed feasibly. |
| Citation: |
| DOI:10.3770/j.issn:2095-2651.2018.01.009 |
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