Refine
Document Type
- Preprint (22)
- Monograph/Edited Volume (20)
- Article (8)
Language
- English (50)
Keywords
- K-theory (7)
- Atiyah-Patodi-Singer theory (5)
- conormal symbol (3)
- eta invariant (3)
- index (3)
- index of elliptic operators in subspaces (3)
- Atiyah-Bott obstruction (2)
- Fredholm property (2)
- boundary value problem (2)
- boundary value problems (2)
Institute
- Institut für Mathematik (50) (remove)
We define a class of boundary value problems on manifolds with fibered boundary. This class is in a certain sense a deformation between the classical boundary value problems and the Atiyah-Patodi-Singer problems in subspaces (it contains both as special cases). The boundary conditions in this theory are taken as elements of the C*-algebra generated by pseudodifferential operators and families of pseudodifferential operators in the fibers. We prove the Fredholm. property for elliptic boundary value problems and compute a topological obstruction (similar to Atiyah-Bott obstruction) to the existence of elliptic boundary conditions for a given elliptic operator. Geometric operators with trivial and nontrivial obstruction are given. (c) 2005 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim