Two nontrivial index theorems in odd dimensions

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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12 pages, AMSTeX, date corrected

Scientific paper

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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