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 2017Show all

3 papers · 1 filter

math.GR2017★ 3 cited

Three-dimensional maps and subgroup growth

Rémi Bottinelli, Laura Ciobanu, Alexander Kolpakov

In this paper we derive a generating series for the number of cellular complexes known as pavings or three-dimensional maps, on $n$ darts, thus solving an analogue of Tutte's probl…

math.CO2017★ 3 cited

Free subgroups of free products and combinatorial hypermaps

Laura Ciobanu, Alexander Kolpakov

We derive a generating series for the number of free subgroups of finite index in $Δ^{+} = Z_{p} * Z_{q}$ by using a connection between free subgroups of $Δ^{+}$ and certai…

math.GT2017★ 14 cited

Embedding arithmetic hyperbolic manifolds

Alexander Kolpakov, Alan W. Reid, Leone Slavich

We prove that any arithmetic hyperbolic $n$ -manifold of simplest type can either be geodesically embedded into an arithmetic hyperbolic $(n + 1)$ -manifold or its universal $\mathrm{m…