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| Virtual Braids, Virtual Temperley-Lieb Algebra and f-Polynomial |
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Citation： |
Zhiguo LI,Fengchun LEI,Jingyan LI.Virtual Braids, Virtual Temperley-Lieb Algebra and f-Polynomial[J].Chinese Annals of Mathematics B,2017,38(6):1275~1286 |
| Page view： 1094
Net amount： 1469 |
Authors： |
Zhiguo LI; Fengchun LEI;Jingyan LI |
Foundation： |
This work was supported by the National Natural Sciences
Foundation of China (Nos.11329101, 11431009, 11301135,
11201314,11302136, A2014210062) and the Excellent Young Scientist
Fund of Shijiazhuang Tiedao University. |
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| Abstract： |
The authors study the properties of virtual Temperley-Lieb algebra
and show how the $f$-polynomial of virtual knot can be derived from
a representation of the virtual braid group into the virtual
Temperley-Lieb algebra, which is an approach similar to Jones's
original construction. |
Keywords： |
Virtual braids, Virtual Temperley-Lieb algebra, f-polynomial |
Classification： |
57M25, 57M27 |
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