Pseudodifferential operators on supermanifolds and the Atiyah-Singer index theorem

Ezra Getzler*

*Corresponding author for this work

Research output: Contribution to journalArticle

93 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 languageEnglish (US)
Pages (from-to)163-178
Number of pages16
JournalCommunications in Mathematical Physics
Volume92
Issue number2
DOIs
StatePublished - Jun 1 1983

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics

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