Smooth Gluing of K\"ahler Metrics with Constant Scalar Curvature.

Prof. Richard Melrose


I will discuss joint work with Michael Singer showing how to analyze smoothly, in the sense of manifolds with corners, the gluing construction of Arezzo and Pacard which "lifts" a K\"ahler metric with constant scalar curvature under the blow up of points. As time permits I will also describe the obstructed case.

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