2002
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Keywords
- conormal symbol (3)
- Atiyah-Bott obstruction (2)
- edge-degenerate operators (2)
- elliptic families (2)
- elliptic family (2)
- relative index (2)
- edge symbol (1)
- exterior tensor product (1)
- index formulas (1)
- manifolds with edges (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.