7 citations · 10 across the 8 of their papers we have counts for
12 papers
Almost Hermitian Ricci flow
Casey Lynn Kelleher, Gang Tian
We introduce a new curvature flow which matches with the Ricci flow on metrics and preserves the almost Hermitian condition. This enables us to use Ricci flow to study almost Hermi…
Index-energy estimates for Yang-Mills connections and Einstein metrics
Matthew J. Gursky, Casey Lynn Kelleher, Jeffrey Streets
We prove a conformally invariant estimate for the index of Schrödinger operators acting on vector bundles over four-manifolds, related to the classical Cwikel-Lieb-Rozenblum estima…
Symplectic curvature flow revisited
Casey Lynn Kelleher
We continue studying a parabolic flow of almost Kähler structures introduced by Streets and Tian which naturally extends Kähler-Ricci flow onto symplectic manifolds. In the system…
A conformally invariant gap theorem in Yang-Mills theory
Matthew Gursky, Casey Lynn Kelleher, Jeffrey Streets
We show a sharp conformally invariant gap theorem for Yang-Mills connections in dimension 4 by exploiting an associated Yamabe-type problem.
Limits of Yang-Mills α-connections
Casey Lynn Kelleher
In the spirit of recent work of Lamm, Malchiodi and Micallef in the setting of harmonic maps, we identify Yang-Mills connections obtained by approximations with respect to the Yang…
Singularity formation of the Yang-Mills flow
Casey Lynn Kelleher, Jeffrey Streets
We study singularity structure of Yang-Mills flow in dimensions . First we obtain a description of the singular set in terms of concentration for a localized entropy quan…
Entropy, stability, and harmonic map flow
Jess Boling, Casey Lynn Kelleher, Jeffrey Streets
Inspired by work of Colding-Minicozzi on mean curvature flow, Zhang introduced a notion of entropy stability for harmonic map flow. We build further upon this work in several direc…
Higher order Yang-Mills flow
Casey Lynn Kelleher
We define a family of functionals generalizing the Yang-Mills functional. We study the corresponding gradient flows and prove long-time existence and convergence results for subcri…
Asymptotic expansion of the Bergman kernel via perturbation of the Bargmann-Fock model
Hamid Hezari, Casey Lynn Kelleher, Shoo Seto +1
We give an alternate proof of the existence of the asymptotic expansion of the Bergman kernel associated to the -th tensor powers of a positive line bundle in a $\frac{1}{\s…
Entropy, Stability, and Yang-Mills flow
Casey Lynn Kelleher, Jeff Streets
Following work of Colding-Minicozzi, we define a notion of entropy for connections over which has shrinking Yang-Mills solitons as critical points. As in Colding-Mini…
Polygonal equalities and virtual degeneracy in -spaces
Casey Lynn Kelleher, Daniel Miller, Trenton Osborn +1
Suppose and that is a measure space for which is at least two-dimensional. The central results of this paper provide a complete description of…
Strongly non embeddable metric spaces
Casey Lynn Kelleher, Daniel Miller, Trenton Osborn +1
Enflo constructed a countable metric space that may not be uniformly embedded into any metric space of positive generalized roundness. Dranishnikov, Gong, Lafforgue and Yu modified…