Pseudodifferential operators on supermanifolds and the Atiyah-Singer index theorem

@article{Getzler1983PseudodifferentialOO,
  title={Pseudodifferential operators on supermanifolds and the Atiyah-Singer index theorem},
  author={Ezra Getzler},
  journal={Communications in Mathematical Physics},
  year={1983},
  volume={92},
  pages={163-178}
}
  • E. Getzler
  • Published 1 June 1983
  • Mathematics
  • Communications in Mathematical Physics
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. 

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