32 citations · 93 across the 27 of their papers we have counts for
31 papers
Group actions on multitrees and the -theory of their crossed products
Nathan Brownlowe, Jack Spielberg, Anne Thomas +1
We study group actions on multitrees, which are directed graphs in which there is at most one directed path between any two vertices. In our main result we describe a six-term exac…
Distances between fixed-point sets in 2-dimensional Euclidean buildings are realised
Harris Leung, Jeroen Schillewaert, Anne Thomas
We prove that if two finitely generated groups act on a metrically complete 2-dimensional Euclidean building, then the distance between their fixed-point sets is realised. Our proo…
Divergence, thickness and hypergraph index for general Coxeter groups
Pallavi Dani, Yusra Naqvi, Ignat Soroko +1
We study divergence and thickness for general Coxeter groups . We first characterise linear divergence, and show that if has superlinear divergence then its divergence is at…
Chimney retractions in affine buildings encode orbits in affine flag varieties
Elizabeth Milićević, Petra Schwer, Anne Thomas
This paper determines the relationship between the geometry of retractions and the combinatorics of folded galleries for arbitrary affine buildings, and so provides a unified frame…
Affine Deligne-Lusztig varieties and folded galleries governed by chimneys
Elizabeth Milićević, Petra Schwer, Anne Thomas
We characterize the nonemptiness and dimension problems for an affine Deligne-Lusztig variety in the affine flag variety in terms of galleries that are positively folded w…
Fixed points for group actions on 2-dimensional affine buildings
Jeroen Schillewaert, Koen Struyve, Anne Thomas
We prove a local-to-global result for fixed points of groups acting on affine buildings (possibly non-discrete) of types or . In the discrete case, our t…