The volume conjecture for simple generalized hyperbolic polyhedra
The volume conjecture for simple generalized hyperbolic polyhedra
Let ) be a simple generalized hyperbolic polyhedron with dihedral angles at the edges , and -skeleton . Let be a sequence of -admissible colorings of the edges of such that
The volume conjecture for polyhedra. At , as runs over all the odd integers,
This extends volume-conjecture formulations for simple hyperideal and compact polyhedra to simple generalized hyperbolic polyhedra, with regular, ideal, or hyperideal vertices. The surrounding discussion attributes related forms to earlier work, but the supplied text gives no resolution status.
Sources & referencesView supporting material
Primary source
Giulio Belletti and Tian Yang, “Asymptotics of quantum 6j-symbols and generalized hyperbolic tetrahedra”, arXiv:2308.13864 (2023).
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