Dirac index classes and the noncommutative spectral flow
نویسندگان
چکیده
منابع مشابه
Dirac Index Classes and the Noncommutative Spectral Flow
We present a detailed proof of the existence-theorem for noncommutative spectral sections (see the noncommutative spectral flow, unpublished preprint, 1997). We apply this result to various index-theoretic situations, extending to the noncommutative context results of Booss– Wojciechowski, Melrose–Piazza and Dai–Zhang. In particular, we prove a variational formula, in K * ðC r ðGÞÞ; for the ind...
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Several proofs have been published of the modZ gluing formula for the h-invariant of a Dirac operator. However, so far the integer contribution to the gluing formula for the h-invariant is left obscure in the literature. In this article we present a gluing formula for the h-invariant which expresses the integer contribution as a triple index involving the boundary conditions and the Calderón pr...
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Several proofs have been published of the modZ gluing formula for the η–invariant of a Dirac operator. However, so far the integer contribution to the gluing formula for the η–invariant is left obscure in the literature. In this article we present a gluing formula for the η–invariant which expresses the integer contribution as a triple index involving the boundary conditions and the Calderón pr...
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ژورنال
عنوان ژورنال: Journal of Functional Analysis
سال: 2003
ISSN: 0022-1236
DOI: 10.1016/s0022-1236(02)00044-7