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Pseudodifferential operators on supermanifolds and the Atiyah-Singer index theorem

✍ Scribed by Ezra Getzler

Publisher: Springer
Year: 1983
Tongue: English
Weight: 1002 KB
Volume: 92
Category: Article
ISSN: 0010-3616
DOI: 10.1007/bf01210843

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## Abstract We consider a class of degenerate classical pseudodifferential operators on a closed curve and compute their index in Sobolev spaces. The index is expressed as a winding number by means of the principal and the subprincipal symbol. Furthermore, applications to the smoothness of solution