Part III
Refine
Has Fulltext
- yes (1)
Year of publication
- 2002 (1)
Document Type
- Preprint (1)
Language
- English (1)
Is part of the Bibliography
- no (1)
Keywords
- conormal symbol (1)
- elliptic family (1)
- relative index (1)
- spectral flow (1)
Institute
When studyind elliptic operators on manifolds with nonisolated singularities one naturally encounters families of conormal symbols (i.e. operators elliptic with parameter p ∈ IR in the sense of Agranovich-Vishik) parametrized by the set of singular points. For homotopies of such families we define the notion of spectral flow, which in this case is an element of the K-group of the parameter space. We prove that the spectral flow is equal to the index of some family of operators on the infinite cone.