Some aspects of the De Rham complex on non-compact manifolds
Matthias Lesch (1991)
Séminaire de théorie spectrale et géométrie
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Matthias Lesch (1991)
Séminaire de théorie spectrale et géométrie
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Werner Müller (1993-1994)
Séminaire Bourbaki
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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.
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.
Jochen Brüning (1996)
Journées équations aux dérivées partielles
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Bernhelm Booss-Bavnbek, Chaofeng Zhu (2005)
Open Mathematics
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We consider a continuous curve of linear elliptic formally self-adjoint differential operators of first order with smooth coefficients over a compact Riemannian manifold with boundary together with a continuous curve of global elliptic boundary value problems. We express the spectral flow of the resulting continuous family of (unbounded) self-adjoint Fredholm operators in terms of the Maslov index of two related curves of Lagrangian spaces. One curve is given by the varying domains,...
Fox, Jeffrey, Haskell, Peter (2005)
The New York Journal of Mathematics [electronic only]
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Prykarpatsky, Yarema A., Samoilenko, Anatoliy M., Prykarpatsky, Anatoliy K. (2005)
Applied Mathematics E-Notes [electronic only]
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