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Two nontrivial index theorems in odd dimensions

Daniel S. Freed
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Abstract

A recent anomaly computation of Horava and Witten is proved and generalized in the form of two index theorems in odd dimensions. Theorem A is a fixed point formula for orientation-reversing involutions. Theorem B is an index theorem for manifolds with boundary using local boundary conditions. Both hold for families of operators.

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Daniel S. Freed. 2001-01-26. Two nontrivial index theorems in odd dimensions. https://arxiv.org/abs/dg-ga/9601005

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