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Generalized signature operators and spectral triples for the Kronecker foliation

Tom 61 / 2003

R. Matthes, O. Richter, G. Rudolph Banach Center Publications 61 (2003), 125-147 MSC: 16W25, 81V15. DOI: 10.4064/bc61-0-9

Streszczenie

We consider two spectral triples related to the Kronecker foliation. The corresponding generalized Dirac operators are constructed from first and second order signature operators. Furthermore, we consider the differential calculi corresponding to these spectral triples. In one case, the calculus has a description in terms of generators and relations, in the other case it is an “almost free” calculus.

Autorzy

  • R. MatthesFachbereich 2
    Technische Universität Clausthal
    Leibnizstraße 4
    38678 Clausthal-Zellerfeld, Germany
    e-mail
  • O. RichterInstitut für Theoretische Physik
    Universität Leipzig
    Augustusplatz 10/11
    04109 Leipzig, Germany
    e-mail
  • G. RudolphInstitut für Theoretische Physik
    Universität Leipzig
    Augustusplatz 10/11
    04109 Leipzig, Germany
    e-mail

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