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• W2343485827 abstract "We establish existence of the eta-invariant as well as of the Atiyah-Patodi-Singer and the Cheeger-Gromov rho-invariants for a class of Dirac operators on an incomplete edge space. Our analysis applies in particular to the signature, the Gauss-Bonnet and the spin Dirac operator. We derive an analogue of the Atiyah-Patodi-Singer index theorem for incomplete edge spaces and their non-compact infinite Galois coverings with edge singular boundary. Our arguments employ microlocal analysis of the heat kernel asymptotics on incomplete edge spaces and the classical argument of Atiyah-Patodi-Singer. As an application, we discuss stability results for the two rho-invariants we have defined." @default.
• W2343485827 created "2016-06-24" @default.
• W2343485827 creator A5029510025 @default.
• W2343485827 creator A5079839370 @default.
• W2343485827 date "2016-04-25" @default.
• W2343485827 modified "2023-09-27" @default.
• W2343485827 title "Eta and rho invariants on manifolds with edges" @default.
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• W2343485827 hasPublicationYear "2016" @default.
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