4 citations · 6 across the 7 of their papers we have counts for
7 papers
Witten instanton complex and Morse-Bott inequalities on stratified pseudomanifolds
Gayana Jayasinghe, Hadrian Quan, Xinran Yu
In this paper we construct Witten instanton complexes on stratified pseudomanifolds with wedge metrics, for all choices of mezzo-perversities which classify the self-adjoint extens…
On localization of eigenfunctions of the magnetic Laplacian
Jeffrey S. Ovall, Hadrian Quan, Robyn Reid +1
Let and consider the magnetic Laplace operator given by , where , subject to Dirichlet…
The wave kernel on asymptotically complex hyperbolic manifolds
Hadrian Quan
We study the behavior of the wave kernel of the Laplacian on asymptotically complex hyperbolic manifolds for finite times. We show that the wave kernel on such manifolds belongs to…
Self-adjointness criteria and self-adjoint extensions of the Laplace-Beltrami operator on -Grushin manifolds
Ivan Beschastnyi, Hadrian Quan
The Grushin plane serves as one of the simplest examples of a sub-Riemannian manifold whose distribution is of non-constant rank. Despite the fact that the singular set where this…
Magnetic Schrödinger operators and landscape functions
Jeremy G. Hoskins, Hadrian Quan, Stefan Steinerberger
We study localization properties of low-lying eigenfunctions of magnetic Schrödinger operators where $V:Ω\rightarrow…
The Calderón problem for the fractional Dirac operator
Hadrian Quan, Gunther Uhlmann
We show that knowledge of the source-to-solution map for the fractional Dirac operator acting over sections of a Hermitian vector bundle over a smooth closed connencted Riemannian…
Sub-Riemannian limit of the differential form heat kernels of contact manifolds
Pierre Albin, Hadrian Quan
We study the behavior of the heat kernel of the Hodge Laplacian on a contact manifold endowed with a family of Riemannian metrics that blow-up the directions transverse to the cont…