2 citations · 4 across the 7 of their papers we have counts for
9 papers
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…
Applications of possibly hidden symmetry to Steklov and mixed Steklov problems on surfaces
Teresa Arias-Marco, Emily B. Dryden, Carolyn S. Gordon +3
We consider three different questions related to the Steklov and mixed Steklov problems on surfaces. These questions are connected by the techniques that we use to study them, whic…
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…
Orbigraphs: a graph theoretic analog to Riemannian orbifolds
Kathleen Daly, Colin Gavin, Gabriel Montes de Oca +3
A Riemannian orbifold is a mildly singular generalization of a Riemannian manifold that is locally modeled on modulo the action of a finite group. Orbifolds have proven inter…
Spectral geometry of the Steklov problem on orbifolds
Teresa Arias-Marco, Emily B. Dryden, Carolyn S. Gordon +3
We consider how the geometry and topology of a compact -dimensional Riemannian orbifold with boundary relates to its Steklov spectrum. In two dimensions, motivated by work of A.…