Showing 2024Show all
3 papers · 1 filter
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.GT2024
Farrell cohomology of the pure mapping class group of non-orientable surfaces
Nestor Colin
For an odd prime , we determine the -primary component of the Farrell cohomology of the pure mapping class groups of a non orientable surface of genus with …
math.GT2024
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…