dc.creator | Podesta, Ricardo Alberto | |
dc.date.accessioned | 2018-09-17T20:52:02Z | |
dc.date.accessioned | 2018-11-06T15:38:49Z | |
dc.date.available | 2018-09-17T20:52:02Z | |
dc.date.available | 2018-11-06T15:38:49Z | |
dc.date.created | 2018-09-17T20:52:02Z | |
dc.date.issued | 2017-04 | |
dc.identifier | Podesta, Ricardo Alberto; The eta function and eta invariant of Z2r -manifolds; Elsevier Science; Differential Geometry and its Applications; 51; 4-2017; 163-188 | |
dc.identifier | 0926-2245 | |
dc.identifier | http://hdl.handle.net/11336/59991 | |
dc.identifier | CONICET Digital | |
dc.identifier | CONICET | |
dc.identifier.uri | http://repositorioslatinoamericanos.uchile.cl/handle/2250/1899422 | |
dc.description.abstract | We compute the eta function #x03B7;(s) and its corresponding η-invariant for the Atiyah–Patodi–Singer operator D acting on an orientable compact flat manifold of dimension =4h−1, ≥1, and holonomy group F≃Z2r , r∈N. We show that η(s) is a simple entire function times L(s,χ4), the L-function associated to the primitive Dirichlet character modulo 4. The η-invariant is 0 or equals ±2k for some k≥0 depending on r and n. Furthermore, we construct an infinite family F of orientable Z2r -manifolds with F⊂SO(n,Z). For the manifolds M∈F we have η(M)=−|T|, where T is the torsion subgroup of H1(M,Z), and that η(M) determines the whole eta function η(s,M). | |
dc.language | eng | |
dc.publisher | Elsevier Science | |
dc.relation | info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1016/j.difgeo.2017.02.004 | |
dc.relation | info:eu-repo/semantics/altIdentifier/url/https://www.sciencedirect.com/science/article/pii/S0926224517300086 | |
dc.rights | https://creativecommons.org/licenses/by-nc-sa/2.5/ar/ | |
dc.rights | info:eu-repo/semantics/restrictedAccess | |
dc.subject | APS OPERATOR | |
dc.subject | COMPACT FLAT MANIFOLDS | |
dc.subject | ETA FUNCTION | |
dc.title | The eta function and eta invariant of Z2r -manifolds | |
dc.type | Artículos de revistas | |
dc.type | Artículos de revistas | |
dc.type | Artículos de revistas | |