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https://dspace.ctu.edu.vn/jspui/handle/123456789/71624
Title: | Twist formulas for one-row colored A2 webs and 5(3 tails of (2,2m)-torus links |
Authors: | Yuasa, Wataru |
Keywords: | Colored Jones polynomial False theta series |
Issue Date: | 2021 |
Series/Report no.: | Acta Mathematica Vietnamica;Vol. 46, No. 02 .- P.369-387 |
Abstract: | The ⁵ᶦ³ colored Jones polynomial J⁵ᶦ³ (L) is obtained by coloring the link components with two-row Young diagram λ. Although it is difficult to compute .J⁵ᶦ³(L) in general, we can calculate it by using Kuperberg's A₂ skein relation. In this paper, we show some formulas for twisted two strands colored by one-row Young diagram in A₂ web space and compute J⁵ᶦ³(T(2. 2m)) for an oriented (2. 2m) -torus link. These explicit formulas derives the 5l3 tail of T(2. 2m). They also give explicit descriptions of the 5l3 false theta series with one-row coloring because the 5l3 tail of T (2. 2m) is known as the false theta series. |
URI: | https://dspace.ctu.edu.vn/jspui/handle/123456789/71624 |
ISSN: | 0251-4184 |
Appears in Collections: | Acta Mathematica Vietnamica |
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