28 citations · 158 across the 26 of their papers we have counts for
4 papers · 1 filter
Bordifications of hyperplane arrangements and their curve complexes
Michael W. Davis, Jingyin Huang
The complement of an arrangement of hyperplanes in has a natural bordification to a manifold with corners formed by removing (or "blowing up") tubular neighborhoods o…
Determining the action dimension of an Artin group by using its complex of abelian subgroups
Michael W. Davis, Jingyin Huang
Suppose that is a Coxeter system with associated Artin group and with a simplicial complex as its nerve. We define the notion of a "standard abelian subgroup" in $A…
Commensurability of groups quasi-isometric to RAAG's
Jingyin Huang
Let be a right-angled Artin group with defining graph and let be a finitely generated group quasi-isometric to . We show if satisfies (1) its outer automorphi…
Quasi-isometry classification of right-angled Artin groups II: several infinite out cases
Jingyin Huang
We are motivated by the question that for which class of right-angled Artin groups (RAAG's), the quasi-isometry classification coincides with commensurability classification. This…