The simplicial-volume form of Kashaev's conjecture
The simplicial-volume form of Kashaev's conjecture
For any link , let be the colored Jones polynomial evaluated at . Let denote the simplicial volume of the complement of , and let be the volume of the ideal regular tetrahedron. The simplicial-volume conjecture. For every link ,
This is presented as an extension of Kashaev's volume conjecture. The formulation is not valid for links in general because vanishes for a split link; for hyperbolic links, simplicial volume is related to hyperbolic volume by multiplication by .
Sources & referencesView supporting material
Primary source
Hitoshi Murakami, Jun Murakami, Miyuki Okamoto, Toshie Takata and Yoshiyuki Yokota, “Kashaev's conjecture and the Chern-Simons invariants of knots and links”, arXiv:math/0203119 (2002).
Progress summary
Nothing recorded yet. Refresh searches the literature and the public web for attempts on this problem, and writes the first summary here.
Solutions 0
Sign in to submit a solution.
No solutions have been posted yet.