Search Results - "Kelleher, Casey Lynn"

Limits of Yang–Mills α-connections by Kelleher, Casey Lynn

“…In the spirit of recent work of Lamm, Malchiodi and Micallef in the setting of harmonic maps (Lamm et al. in Limits of α -harmonic maps,  2015 ), we identify…”
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A Conformally Invariant Gap Theorem in Yang–Mills Theory by Gursky, Matthew, Kelleher, Casey Lynn, Streets, Jeffrey

“…We show a sharp conformally invariant gap theorem for Yang–Mills connections in dimension 4 by exploiting an associated Yamabe-type problem…”
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Almost Hermitian Ricci flow by Kelleher, Casey Lynn, Tian, Gang

“…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…”
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Index-Energy Estimates for Yang–Mills Connections and Einstein Metrics by Gursky, Matthew J., Kelleher, Casey Lynn, Streets, Jeffrey

“…We prove a conformally invariant estimate for the index of Schrödinger operators acting on vector bundles over four-manifolds, related to the classical…”
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On the Existence and Regularity Theory of Yang-Mills Fields by Kelleher, Casey Lynn

“…This work investigates two regularization techniques designed for identifying critical points of the Yang-Mills energy. In the first half of the dissertation,…”
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Symplectic curvature flow revisited by Kelleher, Casey Lynn

“…We continue studying a parabolic flow of almost K\"{a}hler structures introduced by Streets and Tian which naturally extends K\"{a}hler-Ricci flow onto…”
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Almost Hermitian Ricci flow by Kelleher, Casey Lynn, Tian, Gang

“…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…”
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Limits of Yang-Mills {\alpha}-connections by Kelleher, Casey Lynn

“…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…”
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Higher order Yang-Mills flow by Kelleher, Casey Lynn

“…We define a family of functionals generalizing the Yang-Mills functional. We study the corresponding gradient flows and prove long-time existence and…”
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A conformally invariant gap theorem in Yang-Mills theory by Gursky, Matthew, Kelleher, Casey Lynn, Streets, Jeffrey

“…We show a sharp conformally invariant gap theorem for Yang-Mills connections in dimension 4 by exploiting an associated Yamabe-type problem…”
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Singularity formation of the Yang-Mills flow by Kelleher, Casey Lynn, Streets, Jeffrey

“…We study singularity structure of Yang-Mills flow in dimensions $n \geq 4$. First we obtain a description of the singular set in terms of concentration for a…”
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Index-energy estimates for Yang-Mills connections and Einstein metrics by Gursky, Matthew J, Kelleher, Casey Lynn, Streets, Jeffrey

“…We prove a conformally invariant estimate for the index of Schr\"odinger operators acting on vector bundles over four-manifolds, related to the classical…”
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Entropy, Stability, and Yang-Mills flow by Kelleher, Casey Lynn, Streets, Jeff

“…Following work of Colding-Minicozzi, we define a notion of entropy for connections over $\mathbb R^n$ which has shrinking Yang-Mills solitons as critical…”
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Entropy, stability, and harmonic map flow by Boling, Jess, Kelleher, Casey Lynn, Streets, Jeffrey

“…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…”
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Asymptotic expansion of the Bergman kernel via perturbation of the Bargmann-Fock model by Hezari, Hamid, Kelleher, Casey Lynn, Seto, Shoo, Xu, Hang

“…We give an alternate proof of the existence of the asymptotic expansion of the Bergman kernel associated to the $k$-th tensor powers of a positive line bundle…”
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Polygonal equalities and virtual degeneracy in $L_{p}$-spaces by Kelleher, Casey Lynn, Miller, Daniel, Osborn, Trenton, Weston, Anthony

“…Suppose $0 < p \leq 2$ and that $(\Omega, \mu)$ is a measure space for which $L_{p}(\Omega, \mu)$ is at least two-dimensional. The central results of this…”
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Strongly non embeddable metric spaces by Kelleher, Casey Lynn, Miller, Daniel, Osborn, Trenton, Weston, Anthony

“…Enflo constructed a countable metric space that may not be uniformly embedded into any metric space of positive generalized roundness. Dranishnikov, Gong,…”
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