2 citations · 4 across the 7 of their papers we have counts for
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Do the Hodge spectra distinguish orbifolds from manifolds? Part 2
Katie Gittins, Carolyn Gordon, Ingrid Membrillo Solis +3
In \cite{GGKM-SSS} we examined the relationship between the singular set of a compact Riemannian orbifold and the spectrum of the Hodge Laplacian on -forms by computing the heat…
Do the Hodge spectra distinguish orbifolds from manifolds? Part 1
Katie Gittins, Carolyn Gordon, Magda Khalile +3
We examine the relationship between the singular set of a compact Riemannian orbifold and the spectrum of the Hodge Laplacian on -forms by computing the heat invariants associat…
You can hear the local orientability of an orbifold
Sean Richardson, Elizabeth Stanhope
A Riemannian orbifold is a mildly singular generalization of a Riemannian manifold which is locally modeled on the quotient of a connected, open manifold under a finite group of is…
An isospectral deformation on an orbifold quotient of a nilmanifold
Emily Proctor, Elizabeth Stanhope
We construct a Laplace isospectral deformation of metrics on an orbifold quotient of a nilmanifold. Each orbifold in the deformation contains singular points with order two isotrop…
Spectral and geometric bounds on 2-orbifold diffeomorphism type
Emily Proctor, Elizabeth Stanhope
We show that a Laplace isospectral family of two dimensional Riemannian orbifolds, sharing a lower bound on sectional curvature, contains orbifolds of only a finite number of orbif…