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OPTIMISTIC LIMITS OF THE COLORED JONES POLYNOMIALS

  • Cho, Jinseok (School of Mathematics Korea Institute for Advanced Study) ;
  • Murakami, Jun (Department of Mathematics Waseda University)
  • Received : 2012.10.15
  • Published : 2013.05.01

Abstract

We show that the optimistic limits of the colored Jones polynomials of the hyperbolic knots coincide with the optimistic limits of the Kashaev invariants modulo $4{\pi}^2$.

Keywords

Acknowledgement

Supported by : Korea Research Foundation

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  2. Reidemeister transformations of the potential function and the solution 2017, https://doi.org/10.1142/S0218216517500791
  3. Optimistic limits of Kashaev invariants and complex volumes of hyperbolic links vol.23, pp.09, 2014, https://doi.org/10.1142/S0218216514500497
  4. Octahedral developing of knot complement I: Pseudo-hyperbolic structure vol.197, pp.1, 2018, https://doi.org/10.1007/s10711-018-0323-8