Andrey Egorov

collaborators

3 papers

math.GT2026

Minimal Equiangular Hyperbolic Polyhedra in the Tetrahedral Range

Andrey Egorov

We study the minimum-volume problem for finite-volume convex hyperbolic polyhedra whose dihedral angles are all equal to a fixed number $α$. In the non-obtuse case one necessaril…

math.GT2026

Minimal-Volume Equiangular Hyperbolic $4$ -Polytopes

Andrey Egorov

We study finite-volume convex hyperbolic $4$ -polytopes whose dihedral angles are all equal to a fixed strictly acute angle $α$ . Put $α_{0} = arccos (1/3)$ and $α_{1} = arccos (1/4)$ . We fi…

math.GT2024

Virtual Braids and Cluster Algebras

Andrey Egorov

In 2015 Hikami and Inoue constructed a representation of the braid group in terms of cluster algebra associated with the decomposition of the complement of the corresponding knot i…

Minimal Equiangular Hyperbolic Polyhedra in the Tetrahedral Range

Minimal-Volume Equiangular Hyperbolic 4-Polytopes

Virtual Braids and Cluster Algebras

Minimal-Volume Equiangular Hyperbolic $4$ -Polytopes