Abstract
The main ingredients of the cohomological formula for the Fredholm index of non-local elliptic operators are the Г-Todd class of the complexified cotangent bundle of the manifold M and the Chern character of the symbol. (Both are collections of cohomology classes defined on cotangent bundles of fixed-point manifolds M g of the action of Г.) In this chapter, we describe the Chern character.
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© 2008 Birkhäuser Verlag AG
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(2008). Chern Character. In: Elliptic Theory and Noncommutative Geometry. Operator Theory: Advances and Applications, vol 183. Birkhäuser Basel. https://doi.org/10.1007/978-3-7643-8775-4_9
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DOI: https://doi.org/10.1007/978-3-7643-8775-4_9
Publisher Name: Birkhäuser Basel
Print ISBN: 978-3-7643-8774-7
Online ISBN: 978-3-7643-8775-4
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