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Supersymmetry and the Atiyah-Singer index theorem

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363 Scopus citations

Abstract

Using a recently introduced index for supersymmetric theories, we present a simple derivation of the Atiyah-Singer index theorem for classical complexes and its G-index generalization using elementary properties of quantum mechanical supersymmetric systems.

Original languageEnglish
Pages (from-to)161-173
Number of pages13
JournalCommunications in Mathematical Physics
Volume90
Issue number2
DOIs
StatePublished - Jun 1983

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