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Titlebook: Elliptic Boundary Problems for Dirac Operators; Bernhelm Booß-Bavnbek,Krzysztof P. Wojciechowski Book 1993 Springer Science+Business Media

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Dirac Laplacian and Connection LaplacianWe discuss the general Bochner identity which gives an expression of the .. in terms of the .*. and certain bundle endomorphisms
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The Classical Dirac (Atiyah-Singer) Operators on Spin ManifoldsWe consider a spin manifold with a spin structure on its tangent bundle, and a spinor bundle endowed with its canonical connection. We formulate the Lichnerowicz vanishing theorem.
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Dirac Operators and ChiralityWe emphasize the decomposition of a .ℓ(.)-bundle . = .. ⊕ .. and the related splitting of Dirac operators. It is illuminating to treat the signature operator and other geometrically defined operators in this context.
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Unique Continuation Property for Dirac OperatorsWe give a direct proof of the unique continuation property of a Dirac operator by exploiting its simple product decomposition.
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Invertible DoublesWe discuss an important . result for Dirac operators on manifolds with boundary which provides an invertible differential operator on the closed double.
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Sobolev Spaces on Manifolds with BoundaryWe investigate the continuity properties of taking traces in Sobolev spaces over manifolds with boundary.
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