2 citations · 3 across the 4 of their papers we have counts for
4 papers
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…
On volumes of hyperbolic right-angled polyhedra
Stepan Alexandrov, Nikolay Bogachev, Andrei Egorov +1
In this paper we obtain new upper bounds on volumes of right-angled polyhedra in hyperbolic space in three different cases: for ideal polyhedra with all vertices on…
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.…
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…