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• W2951247046 abstract "Let X be a smooth compact manifold with boundary. For smooth foliations on the boundary of X admitting a `resolution' in terms of a fibration, we construct a pseudodifferential calculus generalizing the fibred cusp calculus of Mazzeo and Melrose. In particular, we introduce certain symbols leading to a simple description of the Fredholm operators inside the calculus. When the leaves of the fibration `resolving' the foliation are compact, we also obtain an index formula for Fredholm perturbations of Dirac-type operators. Along the way, we obtain a formula for the adiabatic limit of the eta invariant for invertible perturbations of Dirac-type operators, a result of independent interest generalizing the well-known formula of Bismut and Cheeger." @default.
• W2951247046 created "2019-06-27" @default.
• W2951247046 creator A5036319914 @default.
• W2951247046 date "2012-09-21" @default.
• W2951247046 modified "2023-10-02" @default.
• W2951247046 title "Pseudodifferential Operators on Manifolds with Foliated Boundaries" @default.
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• W2951247046 doi "https://doi.org/10.1007/978-3-0348-0466-0_17" @default.
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