2 citations · 2 across the 4 of their papers we have counts for
10 papers
RAAGedy right-angled Coxeter groups
Christopher H. Cashen, Pallavi Dani, Alexandra Edletzberger +1
We give criteria for deciding whether or not a triangle-free simple graph is the presentation graph of a right-angled Coxeter group that is quasiisometric to some right-angled Arti…
Subgroups arising from connected components in the Morse boundary
Annette Karrer, Babak Miraftab, Stefanie Zbinden
We study connected components of the Morse boundary and their stabilisers. We introduce the notion of point-convergence and show that if the set of non-singleton connected componen…
On the Čech cohomology of Morse boundaries
Elia Fioravanti, Annette Karrer, Alessandro Sisto +1
We consider cusped hyperbolic manifolds, and compute Čech cohomology groups of the Morse boundaries of their fundamental groups. In particular, we show that the reduced Čech co…
Connected components of Morse boundaries of graphs of groups
Elia Fioravanti, Annette Karrer
Let a finitely generated group split as a graph of groups. If edge groups are undistorted and do not contribute to the Morse boundary , we show that every connecte…
The boundary rigidity of lattices in products of trees
Kasia Jankiewicz, Annette Karrer, Kim Ruane +1
We show that every group acting freely and vertex-transitively by isometries on a product of two regular trees of finite valence is boundary rigid. That means that every CAT(0) spa…
Right-angled Coxeter groups with totally disconnected Morse boundaries
Annette Karrer
This paper introduces a new class of right-angled Coxeter groups with totally disconnected Morse boundaries. We construct this class recursively by examining how the Morse boundary…
Surprising circles in Morse boundaries of right-angled Coxeter groups
Marius Graeber, Annette Karrer, Nir Lazarovich +1
We show that the Morse boundary of a right-angled Coxeter group may contain embedded circles that do not arise as the boundary of a Morse Fuchsian subgroup visible in the defining…
The triangle groups (2,4,5) and (2,5,5) are not systolic
Annette Karrer, Petra Schwer, Koen Struyve
In this paper we provide new examples of hyperbolic but nonsystolic groups by showing that the triangle groups and are not systolic. Along the way we prove some…
High girth hypergraphs with unavoidable monochromatic or rainbow edges
Maria Axenovich, Annette Karrer
A classical result of Erdős and Hajnal claims that for any integers there is an -uniform hypergraph of girth at least with chromatic number at least . Th…
Simultaneous Embedding: Edge Orderings, Relative Positions, Cutvertices
Thomas Bläsius, Annette Karrer, Ignaz Rutter
A simultaneous embedding (with fixed edges) of two graphs and with common graph is a pair of planar drawings of and that coincide on . I…