| dc.creator | Miatello, Roberto Jorge | |
| dc.creator | Podestá, Ricardo César | |
| dc.date | 2011-05 | |
| dc.date.accessioned | 2023-08-31T00:15:43Z | |
| dc.date.available | 2023-08-31T00:15:43Z | |
| dc.identifier | http://hdl.handle.net/11336/190933 | |
| dc.identifier | Miatello, Roberto Jorge; Podestá, Ricardo César; Spectral theory of the Atiyah-Patodi-Singer operator on compact flat manifolds; Springer; The Journal Of Geometric Analysis; 22; 4; 5-2011; 1027-1054 | |
| dc.identifier | 1050-6926 | |
| dc.identifier | 1559-002X | |
| dc.identifier | CONICET Digital | |
| dc.identifier | CONICET | |
| dc.identifier.uri | https://repositorioslatinoamericanos.uchile.cl/handle/2250/8543256 | |
| dc.description | We study the spectral theory of the Dirac-type boundary operator D defined by Atiyah, Patodi, and Singer, acting on smooth even forms of a compact flat Riemannian manifold M. We give an explicit formula for the multiplicities of the eigenvalues of D in terms of values of characters of exterior representations of SO(n), where n = dim M. As a consequence, we give large families of D-isospectral flat manifolds that are non-homeomorphic to each other. Furthermore, we derive expressions for the eta series in terms of special values of Hurwitz zeta functions and, as a result, we obtain a simple explicit expression of the eta invariant. © Mathematica Josephina, Inc. 2011. | |
| dc.description | Fil: Miatello, Roberto Jorge. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Córdoba. Centro de Investigación y Estudios de Matemática. Universidad Nacional de Córdoba. Centro de Investigación y Estudios de Matemática; Argentina | |
| dc.description | Fil: Podestá, Ricardo César. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; Argentina | |
| dc.format | application/pdf | |
| dc.format | application/pdf | |
| dc.format | application/pdf | |
| dc.language | eng | |
| dc.publisher | Springer | |
| dc.relation | info:eu-repo/semantics/altIdentifier/url/http://www.springerlink.com/content/94365011k27n7026/ | |
| dc.relation | info:eu-repo/semantics/altIdentifier/doi/10.1007/s12220-011-9227-7 | |
| dc.rights | info:eu-repo/semantics/restrictedAccess | |
| dc.rights | https://creativecommons.org/licenses/by-nc-sa/2.5/ar/ | |
| dc.subject | SIGNATURE AND BOUNDARY OPERATOR | |
| dc.subject | ETA SERIES | |
| dc.subject | ETA INVARIANT | |
| dc.subject | COMPACT FLAT MANIFOLD | |
| dc.subject | https://purl.org/becyt/ford/1.1 | |
| dc.subject | https://purl.org/becyt/ford/1 | |
| dc.title | Spectral theory of the Atiyah-Patodi-Singer operator on compact flat manifolds | |
| dc.type | info:eu-repo/semantics/article | |
| dc.type | info:ar-repo/semantics/artículo | |
| dc.type | info:eu-repo/semantics/publishedVersion | |
