An index theorem for non-standard Dirac operators

Abstract

On manifolds with non-trivial Killing tensors admitting a square root of the Killing-Yano type one can construct non-standard Dirac operators which differ from, but commute with, the standard Dirac operator. We relate the index problem for the non-standard Dirac operator to that of the standard Dirac operator. This necessitates a study of manifolds with torsion and boundary and we summarize recent results obtained for such manifolds.

9 pages, LaTeX2e

References in corpus (1)

• Spinors on manifolds with boundary: APS index theorems with torsion

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