5 papers
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…
Contractible Rips complexes of groups via metric gluings
Kevin Li, Luis Jorge Sánchez Saldaña
We say that a finitely generated group equipped with a finite generating set is of type if the Rips complex is contractible for sufficiently large scales. We show that…
A note on higher coherence of graphs of groups
Kevin Li, Luis Jorge Sánchez Saldaña
For , a group is called -coherent if every subgroup of type is of type . For , we observe that graphs of groups with $n…
A note on finiteness properties of vertex stabilisers
Kevin Li, Luis Jorge Sánchez Saldaña
We prove a criterion for the geometric and algebraic finiteness properties of vertex stabilisers of -CW-complexes, given the finiteness properties of the group and of the st…
On the dimension of Harer's spine for the decorated Teichmüller space
Nestor Colin, Rita Jiménez Rolland, Porfirio L. León Álvarez +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 this…