A. Kolpakov

activity

20102024

most citedHyperbolic four-manifolds with one cusp

36 citations · 170 across the 43 of their papers we have counts for

collaborators

Showing 2015Show all

2 papers · 1 filter

math.GT2015★ 13 cited

Hyperbolic four-manifolds, colourings and mutations

Alexander Kolpakov, Leone Slavich

We develop a way of seeing a complete orientable hyperbolic $4$ -manifold $M$ as an orbifold cover of a Coxeter polytope $P \subset H^{4}$ that has a face…

math.GR2015

Geodesic growth of right-angled Coxeter groups based on trees

Laura Ciobanu, Alexander Kolpakov

In this paper we exhibit two infinite families of trees ${T_{n}^{1}}_{n \geq 17}$ and ${T_{n}^{2}}_{n \geq 17}$ on $n$ vertices, such that $T_{n}^{1}$ and $T_{n}^{2}$ are non-isomorphic, co-sp…