21 citations · 63 across the 21 of their papers we have counts for
32 papers
Strong Negative Type of Star-shaped Manifolds
Hang Liu, Ziyan Xu
Metric spaces of negative type (NT) and strong negative type (SNT) are fundamental in wide applications across computer science and statistics. It is well-known that spheres equipp…
Rigid secondary characteristic classes
Steven Hurder
We construct families of non-trivial universal rigid secondary classes for foliations, and then discuss their application to prove that foliations are not homotopic. An observation…
Characteristic classes for flat Diff(M)-foliations
Steven Hurder
In this work we relate the known results about the homotopy type of classifying spaces for smooth foliations, with the homology and cohomology of the discrete group of diffeomorphi…
Prime spectrum and dynamics for nilpotent Cantor actions
Steven Hurder, Olga Lukina
A minimal equicontinuous action by homeomorphisms of a discrete group on a Cantor set is locally quasi-analytic, if each homeomorphism has a unique extension from small ope…
Type invariants for non-abelian odometers
Steven Hurder, Olga Lukina
In this work, we introduce the type and typeset invariants for equicontinuous group actions on Cantor sets; that is, for generalized odometers. These invariants are collections of…
Essential holonomy of Cantor actions
Steven Hurder, Olga Lukina
A group action has essential holonomy if the set of points with non-trivial holonomy has positive measure. If such an action is topologically free, then having essential holonomy i…