4 papers
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…