Skip to main content
SpringerLink
Log in

BRS Cohomology and the Chern Character in Noncommutative Geometry

  • Published:
Letters in Mathematical Physics Aims and scope Submit manuscript

Abstract

We establish a general local formula computing the topological anomaly of gauge theories in the framework of noncommutative geometry.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Alvarez-Gaumé, L. and Ginsparg, P.: The topological meaning of non-abelian anomalies, Nuclear Phys. B 243 (1984), 449–474; The structure of gauge and gravitational anomalies, Ann. of Phys. 161 (1985), 423–490.

    Google Scholar 

  2. Atiyah, M. F. and Singer, I. M.: Dirac operators coupled to vector potentials, Proc. Nat. Acad. Sci. USA 81 (1984), 2597.

    Google Scholar 

  3. Bismut, J. M. and Freed, D. S.: The analysis of elliptic families I & II, Comm. Math. Phys. 106 (1986), 159–176; 107 (1986), 103–163.

    Google Scholar 

  4. Connes, A.: Non-commutative differential geometry, Publ. Math. IHES 62 (1986), 41–144.

    Google Scholar 

  5. Connes, A.: Non-commutative Geometry, Academic Press, New York, 1994.

    Google Scholar 

  6. Connes, A. and Moscovici, H.: Transgression du caractè re de Chern et cohomologie cyclique, C.R. Acad. Sci. Paris Sér I 303(18) (1986), 913.

    Google Scholar 

  7. Connes, A. and Moscovici, H.: Transgression and the Chern character of finite-dimensional K-cycles, Comm. Math. Phys. 155 (1993), 103–122.

    Google Scholar 

  8. Connes, A. and Moscovici, H.: The local index formula in non-commutative geometry, GAFA 5 (1995), 174–243.

    Google Scholar 

  9. Connes, A. and Moscovici, H.: Hopf algebras, cyclic cohomology and the transverse index theorem, Comm. Math. Phys. 198 (1998), 199–246.

    Google Scholar 

  10. Freed, D. S.: Determinants, torsion, and strings, Comm. Math. Phys. 107 (1986), 483–513.

    Google Scholar 

  11. Loday, J. L.: Cyclic Homology, Grundlehren Math.Wiss. 301, Springer, New York, 1992.

    Google Scholar 

  12. Quillen, D.: Superconnections and the Chern character, Topology 24 (1985), 89–95.

    Google Scholar 

  13. Singer, I. M.: Families of Dirac operators with application to physics, Soc. Math. de France, Astérisque, hors série (1985), 323–340.

  14. Skandalis, G.: Kasparov's bivariant K-theory and applications, Expos. Math. 9 (1991), 193–250.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Centre de Physique Théorique, CNRS-Luminy, Case 907, F-13288, Marseille cedex 9, France

    Denis Perrot

Authors
  1. Denis Perrot
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Perrot, D. BRS Cohomology and the Chern Character in Noncommutative Geometry. Letters in Mathematical Physics 50, 135–144 (1999). https://doi.org/10.1023/A:1007652407155

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/A:1007652407155

Search

Navigation