Connes-Chern Character for Manifolds With Boundary and Eta Cochains - Couverture souple

Lesch, Matthias; Moscovici, Henri; Pflaum, Markus J.

Couverture souple

ISBN 10 : 0821872966 ISBN 13 : 9780821872963

Editeur : American Mathematical Society, 2012

Synopsis

The authors express the Connes-Chern of the Dirac operator associated to a b-metric on a manifold with boundary in terms of a retracted cocycle in relative cyclic cohomology, whose expression depends on a scaling/cut-off parameter. Blowing-up the metric one recovers the pair of characteristic currents that represent the corresponding de Rham relative homology class, while the blow-down yields a relative cocycle whose expression involves higher eta cochains and their b-analogues. The corresponding pairing formulae, with relative K-theory classes, capture information about the boundary and allow to derive geometric consequences. As a by-product, the authors show that the generalized Atiyah-Patodi-Singer pairing introduced by Getzler and Wu is necessarily restricted to almost flat bundles.

Détails de l'édition

• Éditeur: American Mathematical Society
• Date d'édition: 2012
• Langue: anglais
• ISBN 10: 0821872966
• ISBN 13: 9780821872963
• Reliure: Broché
• Nombre de pages: 92
• Coordonnées du fabricant: non disponible
• Personne responsable: non disponible