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Showing 1 to 3 of 3 for “"equivariant index"”.
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Spectral Flow in Equivariant Index Theory
Contains fulltext : 317235.pdf (Publisher’s version ) (Open Access)
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Equivariant Index on Toric Contact Manifolds
… the horizontal Dolbeault operator twisted by a G-equivariant vector bundle. This operator is G-transversally elliptic, in the sense of [5], so its index is a formal power series. The goal of this thesis is to calculate the index of the twisted horizontal Dolbeault operator explicitly by …
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Positive scalar curvature and Callias-type index theorems for proper actions
This thesis by publication is 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 …