dc.contributor |
Centre de Recerca Matemàtica |
dc.contributor.author |
Brüning, Jochen |
dc.contributor.author |
Kamber, Franz W. |
dc.contributor.author |
Richardson, Ken |
dc.date.accessioned |
2011-07-14T08:55:04Z |
dc.date.available |
2011-07-14T08:55:04Z |
dc.date.created |
2010-11 |
dc.date.issued |
2010-11 |
dc.identifier.uri |
http://hdl.handle.net/2072/152180 |
dc.format.extent |
42 |
dc.format.extent |
430041 bytes |
dc.format.mimetype |
application/pdf |
dc.language.iso |
eng |
dc.publisher |
Centre de Recerca Matemàtica |
dc.relation.ispartofseries |
Prepublicacions del Centre de Recerca Matemàtica;981 |
dc.rights |
Aquest document està subjecte a una llicència d'ús de Creative Commons, amb la qual es permet copiar, distribuir i comunicar públicament l'obra sempre que se'n citin l'autor original, la universitat i el centre i no se'n faci cap ús comercial ni obra derivada, tal com queda estipulat en la llicència d'ús (http://creativecommons.org/licenses/by-nc-nd/2.5/es/) |
dc.subject.other |
Foliacions (Matemàtica) |
dc.subject.other |
Índex, Teoria d' (Matemàtica) |
dc.title |
Index theory for basic Dirac operators on Riemannian foliations |
dc.type |
info:eu-repo/semantics/preprint |
dc.subject.udc |
514 - Geometria |
dc.description.abstract |
In this paper we prove a formula for the analytic index of a basic Dirac-type operator on a Riemannian foliation, solving a problem that has been open for many years. We also consider more general indices given by twisting the basic Dirac operator by a representation of the orthogonal group. The formula is a sum of integrals over blowups of the strata of the foliation and also involves eta invariants of associated elliptic operators. As a special case, a Gauss-Bonnet formula for the basic Euler characteristic is obtained using two independent proofs. |