dc.contributor.author |
Brüning, Jochen |
dc.contributor.author |
Kamber, Franz W. |
dc.contributor.author |
Richardson, Ken |
dc.contributor.author |
Universitat Autònoma de Barcelona. Centre de Recerca Matemàtica |
dc.date |
2010 |
dc.identifier |
https://ddd.uab.cat/record/73152 |
dc.identifier |
urn:oai:ddd.uab.cat:73152 |
dc.format |
application/pdf |
dc.language |
eng |
dc.publisher |
Centre de Recerca Matemàtica |
dc.relation |
Centre de Recerca Matemàtica. Prepublicacions ; |
dc.rights |
open access |
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 |
dc.rights |
https://creativecommons.org/licenses/by-nc-nd/2.5/ |
dc.subject |
Foliacions (Matemàtica) |
dc.subject |
Índex, Teoria d' (Matemàtica) |
dc.title |
Index theory for basic Dirac operators on Riemannian foliations |
dc.type |
Article |
dc.type |
Prepublicació |
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. |