, Volume 90, Issue 2, pp 161-173

Supersymmetry and the Atiyah-Singer index theorem

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Abstract

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

Work supported in part by N.S.F. grants: PHY82-15249, PHY80-19754, PHY82-03669, and the Harvard Society of Fellows
Communicated by A. Jaffe