Abstract
For a knot in , the –colored Jones function is a sequence of Laurent polynomials in the variable that is known to satisfy non-trivial linear recurrence relations. The operator corresponding to the minimal linear recurrence relation is called the recurrence polynomial of . The AJ Conjecture (see Garoufalidis [Proceedings of the Casson Fest (2004) 291–309]) states that when reducing , the recurrence polynomial is essentially equal to the –polynomial of . In this paper we consider a stronger version of the AJ Conjecture, proposed by Sikora [arxiv:0807.0943], and confirm it for all torus knots.
Citation
Anh T Tran. "Proof of a stronger version of the AJ Conjecture for torus knots." Algebr. Geom. Topol. 13 (1) 609 - 624, 2013. https://doi.org/10.2140/agt.2013.13.609
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