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- W2950605389 abstract "The Gauss-Bonnet Theorem is studied for edge metrics as a renormalized index theorem. These metrics include the Poincare-Einstein metrics of the AdS/CFT correspondence. Renormalization is used to make sense of the curvature integral and the dimensions of the $L^2$-cohomology spaces as well as to carry out the heat equation proof of the index theorem. For conformally compact metrics even mod $x^m$, the finite time supertrace of the heat kernel on conformally compact manifolds is shown to renormalize independently of the choice of special boundary defining function." @default.
- W2950605389 created "2019-06-27" @default.
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- W2950605389 date "2005-12-08" @default.
- W2950605389 modified "2023-09-27" @default.
- W2950605389 title "A renormalized index theorem for some complete asymptotically regular metrics: the Gauss-Bonnet theorem" @default.
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