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math.GT2026
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…
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…