5 papers
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…
A spine for the decorated Teichmüller space of a punctured non-orientable surface
Nestor Colin, Rita Jiménez Rolland, Porfirio L. León Álvarez +1
Building on work of Harer \cite{Ha86}, we construct a spine for the decorated Teichmüller space of a non-orientable surface with at least one puncture and negative Euler characteri…
The proper geometric dimension of the mapping class group of an orientable surface with punctures
Nestor Colin, Rita Jiménez Rolland, Porfirio L. León Álvarez +1
We show that the {\it full} mapping class group of any orientable closed surface with punctures admits a cocompact classifying space for proper actions of dimension equal to its vi…
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…
The Nielsen Realization Problem for Non-Orientable Surfaces
Nestor Colin, Miguel A. Xicoténcatl
We show the Teichmüller space of a non-orientable surface with marked points (considered as a Klein surface) can be identified with a subspace of the Teichmüller space of its orien…