JournalsjncgVol. 5, No. 3pp. 299–329

Tadpoles and commutative spectral triples

  • Bruno Iochum

    Centre de Physique Théorique, Marseille, France
  • Cyril Levy

    Centre de Physique Théorique, Marseille, France
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Abstract

Using the Chamseddine–Connes approach of the noncommutative action on spectral triples, we show that there are no tadpoles of any order for compact spin manifolds without boundary, and also consider a case of a chiral boundary condition. Using pseudodifferential techniques, we study noncommutative integrals in commutative geometries.

Cite this article

Bruno Iochum, Cyril Levy, Tadpoles and commutative spectral triples. J. Noncommut. Geom. 5 (2011), no. 3, pp. 299–329

DOI 10.4171/JNCG/77