Vol. 194, No. 1, 2000

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First order differential operators on a locally symmetric space

H.D. Fegan and B. Steer

Vol. 194 (2000), No. 1, 83–96
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.

Milestones
Received: 2 April 1998
Revised: 23 June 1999
Published: 1 May 2000
Authors
H.D. Fegan
Lehigh University
Bethlehem, PA 18015-3174
B. Steer
Hertford College
Oxford OX1 3BW
England
University of Helsinki
Hallituskatu 15
Finland 00014