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Title:
Vortices on noncompact surfaces and black holes
Speaker:
Abstract:
In this talk, I will be concerned with vortex equations on noncompact surfaces with certain geometric and topological conditions on their ends. I will show how to extended previously known results about the existence of vortices over such surfaces, and I will compute the corresponding vortex moduli spaces. As an application, I will construct novel solutions of the 4-dimensional SU(2) instanton equations on the Euclidean Schwarzschild manifold.
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