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math.GT2024
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…
math.GT2020
Volume estimates for right-angled hyperbolic polyhedra
A. Egorov, A. Vesnin
By Andreev theorem acute-angled polyhedra of finite volume in a hyperbolic space are uniquely determined by combinatorics of their 1-skeletons and dihedral angles.…
math.GT2019
Ideal right-angled polyhedra in Lobachevsky space
A. Vesnin, A. Egorov
In this paper we consider a class of right-angled polyhedra in three-dimensional Lobachevsky space, all vertices of which lie on the absolute. New upper bounds on volumes in terms…