, Volume 92, Issue 2, pp 163-178

Pseudodifferential operators on supermanifolds and the Atiyah-Singer index theorem

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Abstract

Fermionic quantization, or Clifford algebra, is combined with pseudodifferential operators to simplify the proof of the Atiyah-Singer index theorem for the Dirac operator on a spin manifold.

Supported in part by the National Science Foundation under Grant No. PHY82-03669
Communicated by A. Jaffe