Index character associated to the projective Dirac operator

Abstract

We calculate the equivariant index formula for an infinite dimensional Clifford module canonically associated to any Riemannian manifold. It encompasses the fractional index formula of the projective Dirac operator by Mathai--Melrose--Singer.

8 pages

References in corpus (2)

• The index of projective families of elliptic operators: the decomposable case
• Operator-valued pseudo-differential operators and the twisted index pairing