3 papers
math.GT2025
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…
math.GT2024
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…
math.GR2023
On the virtually cyclic dimension of normally poly-free groups
Rita Jiménez Rolland, Porfirio L. León Álvarez
In this note we give an upper bound for the virtually cyclic dimension of any normally poly-free group in terms of its length. In particular, this implies that virtually even Artin…