The generalized volume conjecture for the figure-eight knot parametrized by a complex number with small imaginary part
Abstract
We study the asymptotic behavior, as $N$ tends to infinity, of the $N$-dimensional colored Jones polynomial of the figure-eight knot, evaluated at $\exp(ξ/N)$ for a complex parameter $ξ$ with $0
Fields of Study & Subjects
Geometric and Algebraic Topology
Algebraic structures and combinatorial models
Advanced Mathematical Identities
Publication details
- Journal / source
- arXiv (Cornell University)
- Publication date
- 1 February 2026
- Document type
- Preprint