Pseudodifferential operators on supermanifolds and the Atiyah-Singer index theorem

Ezra Getzler

doi:10.1007/BF01210843

Pseudodifferential operators on supermanifolds and the Atiyah-Singer index theorem

Ezra Getzler^*

^*Corresponding author for this work

Mathematics

Research output: Contribution to journal › Article › peer-review

105 Scopus citations

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.

Original language	English (US)
Pages (from-to)	163-178
Number of pages	16
Journal	Communications in Mathematical Physics
Volume	92
Issue number	2
DOIs	https://doi.org/10.1007/BF01210843
State	Published - Jun 1983

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics

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10.1007/BF01210843

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title = "Pseudodifferential operators on supermanifolds and the Atiyah-Singer index theorem",

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.",

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Pseudodifferential operators on supermanifolds and the Atiyah-Singer index theorem

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