Spectral analysis on singular spaces
Jochen Brüning (1989)
Journées équations aux dérivées partielles
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Jochen Brüning (1989)
Journées équations aux dérivées partielles
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Gorm Salomonsen (1998)
Journées équations aux dérivées partielles
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I present an alternative way of computing the index of a Dirac operator on a manifold with boundary and a special family of pseudodifferential boundary conditions. The local version of this index theorem contains a number of divergence terms in the interior, which are higher order heat kernel invariants. I will present a way of associating boundary terms to those divergence terms, which are rather local of nature.
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.
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.
Bernhelm Booss, Bert Schulze (1983)
Banach Center Publications
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Werner Müller (1993-1994)
Séminaire Bourbaki
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