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Boundary value problems with Atiyah-Pato...
Battisti, U....

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Boundary value problems with Atiyah-Patodi-Singer type conditions and spectral triples by Battisti, U. ( Author )
Lemonjar Open Access
N.A
10-03-2015
We study realizations of pseudodifferential operators acting on sections of vector-bundles on a smooth, compact manifold with boundary, subject to conditions of Atiyah-Patodi-Singer type. Ellipticity and Fredholm property, compositions, adjoints and self-adjointness of such realizations are discussed. We construct regular spectral triples (A,H,D) for manifolds with boundary of arbitrary dimension, where H is the space of square integrable sections. Starting out from Dirac operators with APS-conditions, these triples are even in case of even dimensional manifolds; we show that the closure of A in L(H) coincides with the continuous functions on the manifold being constant on each connected component of the boundary.
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Article
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36.88 KB
English
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MYR 0.01
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https://arxiv.org/abs/1503.02897
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