Residue formulation of the Chern character on smooth manifolds |
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Authors: | Dmitry Gerenrot |
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Institution: | Georgia Institute of Technology, Atlanta, GA, USA |
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Abstract: | The Chern character of a complex vector bundle is most conveniently defined as the exponential of a curvature of a connection. It is well known that its cohomology class does not depend on the particular connection chosen. It has been shown by Quillen that a connection may be perturbed by an endomorphism of the vector bundle, such as a symbol of some elliptic differential operator. This point of view, as we intend to show, allows one to relate Chern character to a noncommutative sibling formulated by Connes and Moscovici. |
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Keywords: | primary 57R20 secondary 58J20 57R22 |
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