3 citations · 8 across the 8 of their papers we have counts for
8 papers
The universal Euler characteristic and Burnside group for definable groupoids
Carla Farsi, Emily Proctor, Christopher Seaton
We introduce the universal Euler characteristic of orbit space definable groupoids, a class of groupoids containing cocompact proper Lie groupoids as well as translation groupoids…
The spectra of digraphs with Morita equivalent -algebras
Carla Farsi, Emily Proctor, Christopher Seaton
Eilers et al. have recently completed the geometric classification of unital graph -algebras up to Morita equivalence using a set of moves on the corresponding digraphs. We…
Approximating orbifold spectra using collapsing connected sums
Carla Farsi, Emily Proctor, Christopher Seaton
For a closed Riemannian orbifold , we compare the spectra of the Laplacian, acting on functions or differential forms, to the Neumann spectra of the orbifold with boundary given…
Γ-extensions of the spectrum of an orbifold
Carla Farsi, Emily Proctor, Christopher Seaton
We introduce the Γ-extension of the spectrum of the Laplacian of a Riemannian orbifold, where Γis a finitely generated discrete group. This extension, called the Γ-spectrum, is the…
Orbifold homeomorphism finiteness based on geometric constraints
Emily Proctor
We show that any collection of n-dimensional orbifolds with sectional curvature and volume uniformly bounded below, diameter bounded above, and with only isolated singular points c…
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…