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20232026
most citedOn the large scale geometry of big mapping class groups of surfaces with a unique maximal end

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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…