On the rho invariant for manifolds with boundary.
Kirk, Paul, Lesch, Matthias (2003)
Algebraic & Geometric Topology
Similarity:
Kirk, Paul, Lesch, Matthias (2003)
Algebraic & Geometric Topology
Similarity:
Eric Leichtnam, Paolo Piazza (2004)
Annales de l’institut Fourier
Similarity:
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 (1989)
Journées équations aux dérivées partielles
Similarity:
Éric Leichtnam, Paolo Piazza (1997)
Mémoires de la Société Mathématique de France
Similarity:
Fox, Jeffrey, Haskell, Peter (2005)
The New York Journal of Mathematics [electronic only]
Similarity:
Olivier Biquard, Marc Herzlich, Michel Rumin (2007)
Annales scientifiques de l'École Normale Supérieure
Similarity:
Bunke, Ulrich
Similarity:
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.