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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.GT2026
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…