3 papers
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…
math.GT2025
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…
math.GR2025
Asymptotic and cohomological dimension of surface braid groups and poly-surface groups
Porfirio L. León Álvarez, Israel Morales
In this paper, we determine the asymptotic dimension for all surface braid groups -- including those associated with non-orientable and infinite-type surfaces -- as well as for tor…