51 citations · 177 across the 23 of their papers we have counts for
25 papers
Exotic aspherical 4-manifolds
Michael Davis, Kyle Hayden, Jingyin Huang +2
We construct closed, aspherical, smooth 4-manifolds that are homeomorphic but not diffeomorphic. These provide counterexamples to a smooth analog of the Borel conjecture in dimensi…
Rigidity for von Neumann algebras of graph product groups II. Superrigidity results
Ionut Chifan, Michael Davis, Daniel Drimbe
In \cite{CDD22} we investigated the structure of -isomorphisms between von Neumann algebras associated with graph product groups of flower-shaped graphs and proper…
Rigidity for von Neumann algebras of graph product groups. I. Structure of automorphisms
Ionut Chifan, Michael Davis, Daniel Drimbe
In this paper we study various rigidity aspects of the von Neumann algebra where is a graph product group \cite{Gr90} whose underlying graph is a certain cycle of clique…
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…
Action dimensions of some simple complexes of groups
Michael W. Davis, Giang Le, Kevin Schreve
The action dimension of a discrete group is the minimum dimension of contractible manifold that admits a proper -action. We compute the action dimension of the direct limit…
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…