1 citations · 1 across the 5 of their papers we have counts for
6 papers
The proper geometric dimension of the mapping class groups of non-orientable surfaces with punctures
Nestor Colin, Rita Jiménez Rolland, Porfirio L. León Álvarez +1
We study the proper geometric dimension of {\it full} mapping class groups of non-orientable surfaces with punctures. Building on the computation for closed non-orientable surfaces…
Birman-Hilden theory for big mapping class groups
Nestor Colin, Ruben Hidalgo, Rita Jiménez Rolland +2
Let and be two connected topological surfaces without boundary, and assume that is either of infinite type or has negative Euler characteristic. In this paper, we prove…
The Euler class of infinite-type surface bundles
Mauricio Bustamante, Rita Jiménez Rolland, Israel Morales
We study the Euler class of smooth orientable infinite-type surface bundles with a section. For many such surfaces, we show that this cohomology class is nontrivial, and that the b…
Torsion at the Threshold for Mapping Class Groups
Solomon Jekel, Rita Jiménez Rolland
The mapping class group of a closed orientable surface of genus with one marked point can be identified, by the Nielsen action, with a subgroup of the group of…
On the dimension of Harer's spine for the decorated Teichmüller space
Nestor Colin, Rita Jiménez Rolland, Porfirio L. León Álvarez +1
In \cite{Ha86} Harer explicitly constructed a spine for the decorated Teichmüller space of orientable surfaces with at least one puncture and negative Euler characteristic. In this…
On the large scale geometry of big mapping class groups of surfaces with a unique maximal end
Rita Jiménez Rolland, Israel Morales
Building on the work of K. Mann and K. Rafi, we analyze the large scale geometry of big mapping class groups of surfaces with a unique maximal end. We obtain a complete characteriz…