90 citations · 153 across the 31 of their papers we have counts for
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math.DG2019
Chern-Gauss-Bonnet formula for singular Yamabe metrics in dimension four
C. Robin Graham, Matthew J. Gursky
We derive a formula of Chern-Gauss-Bonnet type for the Euler characteristic of a four dimensional manifold-with-boundary in terms of the geometry of the Loewner-Nirenberg singular…
math.DG2019
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…