早稲田大学 / 大学院基幹理工学研究科数学応用数理専攻(博士後期課程)
プレプリント『On the volume conjecture of the colored Jones invariants with arbitrary colors』
Abstract. We study the volume conjecture of the colored Jones invariants with sequences of colors corresponding to the deformation of the hyperbolic structure of a link complement. In particular, we investigate certain limits of the colored Jones invariants of the figure-eight knot and the Borromean rings and show that the limits are related to the volumes of hyperbolic cone manifolds whose singular sets are the links.