| Abstract: |
These notes provide an introduction to the local index formula of Connes and Moscovici. They emphasize the basic, analytic aspects of the subject. This is in part because the analysis
must be dealt with first, before more purely cohomological issues are tackled, and
in part because the later issues are already quite well covered in survey articles by
Connes and others. Moreover, on the cohomological side,
the final and definitive results have yet to be thoroughly investigated. I hope that
the reader will be able to use these notes to introduce himself to these issues of
current research interest.
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