On the asymptotic expansion of the Kashaev invariant of the knot
Tomotada Ohtsuki
Kyoto University, Japan
![On the asymptotic expansion of the Kashaev invariant of the $5_2$ knot cover](/_next/image?url=https%3A%2F%2Fcontent.ems.press%2Fassets%2Fpublic%2Fimages%2Fserial-issues%2Fcover-qt-volume-7-issue-4.png&w=3840&q=90)
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