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.AT2023
Periodicity of the pure mapping class group of non-orientable surfaces
Nestor Colin, Rita Jiménez Rolland, Miguel A. Xicoténcatl
We show that the pure mapping class group of a non-orientable closed surface of genus with marked points has -periodic cohomo…