Refine
Has Fulltext
- yes (1)
Year of publication
- 2000 (1) (remove)
Document Type
- Preprint (1)
Language
- English (1)
Is part of the Bibliography
- no (1)
Keywords
- manifold with singularities (1) (remove)
Institute
We prove a general theorem on the behavior of the relative index under surgery for a wide class of Fredholm operators, including relative index theorems for elliptic operators due to Gromov-Lawson, Anghel, Teleman, Booß-Bavnbek-Wojciechowski, et al. as special cases. In conjunction with additional conditions (like symmetry conditions), this theorem permits one to compute the analytical index of a given operator. In particular, we obtain new index formulas for elliptic pseudodifferential operators and quantized canonical transformations on manifolds with conical singularities.