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.
Identifer | oai:union.ndltd.org:Potsdam/oai:kobv.de-opus-ubp:2587 |
Date | January 2000 |
Creators | Nazaikinskii, Vladimir, Sternin, Boris |
Publisher | Universität Potsdam, Mathematisch-Naturwissenschaftliche Fakultät. Institut für Mathematik |
Source Sets | Potsdam University |
Language | English |
Detected Language | English |
Type | Preprint |
Format | application/pdf |
Rights | http://opus.kobv.de/ubp/doku/urheberrecht.php |
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