On the rho invariant for manifolds with boundary.
Kirk, Paul, Lesch, Matthias (2003)
Algebraic & Geometric Topology
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Displaying similar documents to “The eta invariant (some recent developments)”
On the rho invariant for manifolds with boundary.
Elliptic operators and higher signatures
Eric Leichtnam, Paolo Piazza (2004)
Annales de l’institut Fourier
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Building on the theory of elliptic operators, we give a unified treatment of the following topics: - the problem of homotopy invariance of Novikov’s higher signatures on closed manifolds, - the problem of cut-and-paste invariance of Novikov’s higher signatures on closed manifolds, - the problem of defining higher signatures on manifolds with boundary and proving their homotopy invariance.
Spectral analysis on singular spaces
Jochen Brüning (1989)
Journées équations aux dérivées partielles
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The -pseudodifferential calculus on Galois coverings and a higher Atiyah-Patodi-Singer index theorem
Éric Leichtnam, Paolo Piazza (1997)
Mémoires de la Société Mathématique de France
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The Atiyah-Patodi-Singer theorem for perturbed Dirac operators on even-dimensional manifolds with bounded geometry.
Fox, Jeffrey, Haskell, Peter (2005)
The New York Journal of Mathematics [electronic only]
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Diabatic limit, eta invariants and Cauchy–Riemann manifolds of dimension 3
Olivier Biquard, Marc Herzlich, Michel Rumin (2007)
Annales scientifiques de l'École Normale Supérieure
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Comparison of Dirac operators on manifolds with
Bunke, Ulrich
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The author introduces boundary conditions for Dirac operators giving selfadjoint extensions such that the Hamiltonians define elliptic operators. Using finite propagation speed methods and assuming bounded geometry he estimates the trace of the difference of two heat operators associated to a pair of Dirac operators coinciding on cocompact sets.