4 papers · 1 filter
Spectra of normalized volumes of right-angled hyperbolic polyhedra
A. Egorov, A. Vesnin
We consider three-dimensional hyperbolic polyhedra of finite volume with finitely many vertices. The normalized volume of a polyhedron is the ratio of its volume to the number of v…
The minimal covolume right-angled Coxeter group in hyperbolic 3-space
A. Egorov, A. Vesnin
We prove that among all right-angled Coxeter groups in hyperbolic 3-space, the group generated by reflections in the faces of a right-angled triangular bipyramid with three ideal a…
The Vol-Det Conjecture for highly twisted alternating links
Andrei Egorov, Andrei Vesnin
The Vol-Det Conjecture, formulated by Champanerkar, Kofman and Purcell, states that there exists a specific inequality connecting the hyperbolic volume of an alternating link and i…
Polynomials of complete spatial graphs and Jones polynomial of related links
Olga Oshmarina, Andrei Vesnin
Let be a complete graph with vertices. An embedding of in is called a spatial -graph. Knots in a spatial -graph corresponding to simple cycles of $K…