A version of the volume conjecture

• Autores: Hitoshi Murakami
• Localización: Advances in mathematics, ISSN 0001-8708, Vol. 211, Nº 2, 2007, págs. 678-683
• Idioma: inglés
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• Resumen

  • We propose a version of the volume conjecture that would relate a certain limit of the colored Jones polynomials of a knot to the volume function defined by a representation of the fundamental group of the knot complement to the special linear group of degree two over complex numbers. We also confirm the conjecture for the figure-eight knot and torus knots. This version is different from S. Gukov's because of a choice of polarization