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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.

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Author notes

  1. Luis Alvarez-Gaumé

    Present address: Lyman Laboratory of Physics, Harvard University, 02138, Cambridge, MA, USA

Authors and Affiliations

  1. Joseph Henry Laboratories, Princeton University, 08544, Princeton, NJ, USA

    Luis Alvarez-Gaumé

Authors
  1. Luis Alvarez-Gaumé
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Additional information

Communicated by A. Jaffe

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

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Alvarez-Gaumé, L. Supersymmetry and the Atiyah-Singer index theorem. Commun.Math. Phys. 90, 161–173 (1983). https://doi.org/10.1007/BF01205500

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  • DOI: https://doi.org/10.1007/BF01205500

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