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https://dspace.ctu.edu.vn/jspui/handle/123456789/71623| Title: | The strong AJ conjecture for the figure 8 knot |
| Authors: | Nguyen, Hoang-An Tran, Anh T |
| Keywords: | Colored Jones polynomial A-Polynomial AJ conjecture Figure 8 knot |
| Issue Date: | 2021 |
| Series/Report no.: | Acta Mathematica Vietnamica;Vol. 46, No. 02 .- P.357-368 |
| Abstract: | Motivated by the theory of quantum A-ideals of Frohman-Gelca-LoFaro, the theory of q-holonomicily of quantum invariants of Garoufalidis-Le, and the AJ con jecture of Garoufa- lidis. Sikora formulated the strong AJ conjecture which relates the A-ideal and recurrence ideal of a knot in the 3-sphere. This conjecture has been verified for all torus knots and most of their cables. In this paper, we verify the strong AJ conjecture for the figure 8 knot. |
| URI: | https://dspace.ctu.edu.vn/jspui/handle/123456789/71623 |
| ISSN: | 0251-4184 |
| Appears in Collections: | Acta Mathematica Vietnamica |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| _file_ Restricted Access | 1.43 MB | Adobe PDF | ||
| Your IP: 18.117.254.202 |
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