论文标题
图形八节的强大AJ猜想
The strong AJ conjecture for the figure eight knot
论文作者
论文摘要
由Frohman-Gelca-Lofaro的量子A-理论理论的动机，Garoufalidis-Le的量子不变性的Q独立性和Garoufalidis的AJ猜想，Sikora的强大AJ猜测与A-Wideal和A-Wideal和A-Ideal Reportence的强大AJ猜想相关。该猜想已针对所有圆环结及其大多数电缆进行了验证。在本文中，我们验证了图八节的强烈AJ猜想。
Motivated by the theory of quantum A-ideals of Frohman-Gelca-LoFaro, the theory of q-holonomicity of quantum invariants of Garoufalidis-Le and the AJ conjecture of Garoufalidis, 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 eight knot.
