18 citations · 32 across the 5 of their papers we have counts for
5 papers
Two-generator subgroups of right-angled Artin groups are quasi-isometrically embedded
Mike Carr
We show that non-abelian two-generator subgroups of right-angled Artin groups are quasi-isometrically embedded free groups. This provides an alternate proof of a theorem of A. Baud…
Pseudograph associahedra
Michael Carr, Satyan L. Devadoss, Stefan Forcey
Given a simple graph G, the graph associahedron KG is a simple polytope whose face poset is based on the connected subgraphs of G. This paper defines and constructs graph associahe…
Geometries, the principle of duality, and algebraic groups
Michael Carr, Skip Garibaldi
Jacques Tits gave a general recipe for producing an abstract geometry from a semisimple algebraic group. This expository paper describes a uniform method for giving a concrete real…
Particle Configurations and Coxeter Operads
Suzanne M. Armstrong, Michael Carr, Satyan L. Devadoss +3
There exist natural generalizations of the real moduli space of Riemann spheres based on manipulations of Coxeter complexes. These novel spaces inherit a tiling by the graph-associ…
Coxeter Complexes and Graph-Associahedra
Michael Carr, Satyan L. Devadoss
Given a graph G, we construct a simple, convex polytope whose face poset is based on the connected subgraphs of G. This provides a natural generalization of the Stasheff associahed…