Two nontrivial index theorems in odd dimensions
Abstract
Description
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.
12 pages, AMSTeX, date corrected
12 pages, AMSTeX, date corrected