3 papers
math.GR2026
Asymptotic and cohomological dimension of surface braid groups and poly-surface groups
Porfirio L. León Ãlvarez, 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…
math.GR2026
Balanced groups and the virtually cyclic dimension of poly-surfaces groups
Jesús Hernández Hernández, Porfirio Leandro León Ãlvarez
In this paper we obtain explicit linear upper bounds for the virtually cyclic dimension of normally poly-surface and normally poly-free groups. Our approach is based on a structura…
math.GT2024
On the dimension of Harer's spine for the decorated Teichmüller space
Nestor Colin, Rita Jiménez Rolland, Porfirio L. León Ãlvarez +1
In \cite{Ha86} Harer explicitly constructed a spine for the decorated Teichmüller space of orientable surfaces with at least one puncture and negative Euler characteristic. In thi…