|
Title:
|
Index theory for basic Dirac operators on Riemannian foliations
|
|
Author:
|
Brüning, Jochen; Kamber, Franz W.; Richardson, Ken
|
|
Other authors:
|
Centre de Recerca Matemàtica |
|
Resum:
|
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. |
|
Publication date:
|
2010-11 |
|
Subject (UDC):
|
514 - Geometria |
|
Subject(s):
|
Foliacions (Matemàtica)
Índex, Teoria d' (Matemàtica) |
|
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/) |
|
Document type:
|
Preprint |
|
Share:
|
|
