Abstract

The basic result is the classification of first order invariant elliptic differential operators on a quotient of a spin symmetric space by a suitable discrete group: Such operators are all twisted Dirac operators. As a consequence we obtain conditions for the spectral symmetry to be equivariant. We also show that the characteristic numbers of these spaces vanish, a result previously obtained by Hirzebruch and Slodowy from the study of elliptic genera.

Authors