43 citations · 184 across the 26 of their papers we have counts for
5 papers · 1 filter
Three perfect mapping class groups
Nicholas G. Vlamis
We prove that the mapping class group of a surface obtained from removing a Cantor set from either the 2-sphere, the plane, or the interior of the closed 2-disk has no proper count…
There are no exotic ladder surfaces
Ara Basmajian, Nicholas G. Vlamis
It is an open problem to provide a characterization of quasiconformally homogeneous Riemann surfaces. We show that given the current literature, this problem can be broken into fou…
Isometry groups of infinite-genus hyperbolic surfaces
Tarik Aougab, Priyam Patel, Nicholas G. Vlamis
Given a 2-manifold, a fundamental question to ask is which groups can be realized as the isometry group of a Riemannan metric of constant curvature on the manifold. In this paper,…
Ends of non-metrizable manifolds: a generalized bagpipe theorem
David Fernández-Bretón, Nicholas G. Vlamis, Mathieu Baillif
We initiate the study of ends of non-metrizable manifolds and introduce the notion of short and long ends. Using the theory developed, we provide a characterization of (non-metriza…
Big mapping class groups: an overview
Javier Aramayona, Nicholas G. Vlamis
We survey recent developments on mapping class groups of surfaces of infinite topological type.