On the asymptotic expansion of the Kashaev invariant of the knot

  • Tomotada Ohtsuki

    Kyoto University, Japan

Abstract

We give a presentation of the asymptotic expansion of the Kashaev invariant of the knot. As the volume conjecture states, the leading term of the expansion presents the hyperbolic volume and the Chern–Simons invariant of the complement of the knot. As coefficients of the expansion, we obtain a series of new invariants of the knot.

Cite this article

Tomotada Ohtsuki, On the asymptotic expansion of the Kashaev invariant of the knot. Quantum Topol. 7 (2016), no. 4, pp. 669–735

DOI 10.4171/QT/83