2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/59953In this article, we give a rough, and so not complete yet, proof of Kashaev's conjecture, that is, the volume conjecture for hyperbolic knots, where the hyperbolicity equations associated to knot diagrams appear as the stationary phase equations for Kashaev's invariants.10 pages, 6 figuresQuantum AlgebraGeometric Topology57M25On the volume conjecture for hyperbolic knotstext