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Communications in Mathematical Physics

, Volume 199, Issue 1, pp 203–242 | Cite as

Hopf Algebras, Renormalization and Noncommutative Geometry

  • Alain Connes
  • Dirk Kreimer

Abstract:

We explore the relation between the Hopf algebra associated to the renormalization of QFT and the Hopf algebra associated to the NCG computations of tranverse index theory for foliations.

Keywords

Hopf Algebra Noncommutative Geometry Index Theory 
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Copyright information

© Springer-Verlag Berlin Heidelberg 1998

Authors and Affiliations

  • Alain Connes
    • 1
  • Dirk Kreimer
    • 2
  1. 1.IHES, 35, route de Chartres, F-91440 Bures-sur-Yvette, FranceFR
  2. 2.Department of Physics, Universität Mainz, Staudingerweg, 55099 Mainz, GermanyDE

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