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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…
The Euler class of infinite-type surface bundles
Mauricio Bustamante, Rita Jiménez Rolland, Israel Morales
We study the Euler class of smooth orientable infinite-type surface bundles with a section. For many such surfaces, we show that this cohomology class is nontrivial, and that the b…
On the large scale geometry of big mapping class groups of surfaces with a unique maximal end
Rita Jiménez Rolland, Israel Morales
Building on the work of K. Mann and K. Rafi, we analyze the large scale geometry of big mapping class groups of surfaces with a unique maximal end. We obtain a complete characteriz…