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- Fredholm operators (1)
- Fredholm property (1)
- Lefschetz fixed point formula (1)
- conical singularities (1)
- contact transformations (1)
- elliptic operator (1)
- ellipticity (1)
- index formulas (1)
- manifolds with conical singularities (1)
- pseudodiferential operators (1)
- quantization (1)
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Institute
The quantization of contact transformations of the cosphere bundle over a manifold with conical singularities is described. The index of Fredholm operators given by this quantization is calculated. The answer is given in terms of the Epstein-Melrose contact degree and the conormal symbol of the corresponding operator.