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Showing 1 to 2 of 2 for “"Callias-type operators"”.
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Positive scalar curvature and Callias-type index theorems for proper actions
… a study of the equivariant index theory of Dirac operators and Callias-type operators in two distinct settings, namely on cocompact and non-cocompact manifolds with a Lie group action. The first two chapters are a short resumé of Dirac operators and index theory and form a common introduction to …
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Index theorems and magnetic monopoles on asymptotically conic manifolds
In this thesis, I investigate the index of Callias type operators on asymptotically conic manifolds (also known as asymptotically locally Euclidean manifolds or scattering manifolds) and give an application to the moduli space of magnetic monopoles on these spaces. The index theorem originally due …