1 citations · 1 across the 4 of their papers we have counts for
4 papers
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…
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…
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…