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The families index theorem without embedding
by
Alan Paterson
The classical Atiyah-Singer index theorem defines the topological index by using an embedding of the (compact) manifold in a Euclidean space. Such an embedding cannot be obtained for more general index theorems, in particular for groupoid index theory. Using ideas of Gennadi Kasparov, Nigel Higson has given a proof of the classical index theorem not using an embedding, but instead using the Connes-Higson asymptotic morphism. The talk will discuss an extension of Higson's approach that applies to the families index theorem, where the index is a K-class.
Date received: February 2, 2008
Copyright © 2008 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cavq-31.