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A New short proof of the local index formula of Atiyah-Singer

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Noncommutative Geometry and Number Theory

Part of the book series: Aspects of Mathematics ((ASMA))

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Abstract

In this talk we present a new short proof of the local index formula of Atiyah-Singer for Dirac operators ([AS1], [AS2]) which, as a byproduct and unlike Getzler’s short proof, allows us to compute the CM cyclic cocycle for Dirac spectral triples.

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Author information

Authors and Affiliations

  1. Department of Mathematics, Ohio State University, Columbus, OH, 43210, USA

    Raphaël Ponge

Authors
  1. Raphaël Ponge
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Editor information

Editors and Affiliations

  1. Department of Mathematics, The Johns Hopkins University, 3400 North Charles Street, Baltimore, MD, 21218, USA

    Caterina Consani

  2. Max-Planck-Institut für Mathematik, Vivatsgasse 7, D-53111, Bonn

    Matilde Marcolli

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© 2006 Friedr. Vieweg & Sohn Verlag ∣ GWV Fachverlage GmbH, Wiesbaden

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Ponge, R. (2006). A New short proof of the local index formula of Atiyah-Singer. In: Consani, C., Marcolli, M. (eds) Noncommutative Geometry and Number Theory. Aspects of Mathematics. Vieweg. https://doi.org/10.1007/978-3-8348-0352-8_17

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