Hopf algebras, cyclic cohomology and the transverse index theory
Differential Geometry
2009-10-31 v1
Abstract
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.
Keywords
Cite
@article{arxiv.math/9806109,
title = {Hopf algebras, cyclic cohomology and the transverse index theory},
author = {Alain Connes and Henri Moscovici},
journal= {arXiv preprint arXiv:math/9806109},
year = {2009}
}
Comments
54 pages