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GLUING FORMULAE OF SPECTRAL INVARIANTS AND CAUCHY DATA SPACES

    https://doi.org/10.1142/9789812773609_0002Cited by:1 (Source: Crossref)
    Abstract:

    We review the gluing formulae of the spectral invariants - the ζ-regularized determinant of a Laplace type operator and the eta invariant of a Dirac type operator. In particular, we explain the crucial role of the Cauchy data spaces in these gluing formulae.

    Dedication: Dedicated to Krzysztof P. Wojciechowski on his 50th birthday
    Keywords:
    AMSC: Primary 58J28, Secondary 58J52