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arXiv:math/9806109 [math.DG]AbstractReferencesReviewsResources

Hopf algebras, cyclic cohomology and the transverse index theory

Alain Connes, Henri Moscovici

Published 1998-06-19Version 1

We present the solution of a longstanding internal problem of noncommutative geometry, namely the computation of the index of a transversally elliptic operator on an arbitrary foliation. The new and crucial ingredient is a certain Hopf algebra associated to the transverse frame bundle. Its cyclic cohomology is defined and shown to be canonically isomorphic to the Gelfand-Fuks cohomology.

Comments: 54 pages
Categories: math.DG
Subjects: 58G12
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