dc.creatorPodesta, Ricardo Alberto
dc.date.accessioned2018-09-17T20:52:02Z
dc.date.accessioned2018-11-06T15:38:49Z
dc.date.available2018-09-17T20:52:02Z
dc.date.available2018-11-06T15:38:49Z
dc.date.created2018-09-17T20:52:02Z
dc.date.issued2017-04
dc.identifierPodesta, Ricardo Alberto; The eta function and eta invariant of Z2r -manifolds; Elsevier Science; Differential Geometry and its Applications; 51; 4-2017; 163-188
dc.identifier0926-2245
dc.identifierhttp://hdl.handle.net/11336/59991
dc.identifierCONICET Digital
dc.identifierCONICET
dc.identifier.urihttp://repositorioslatinoamericanos.uchile.cl/handle/2250/1899422
dc.description.abstractWe 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.languageeng
dc.publisherElsevier Science
dc.relationinfo:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1016/j.difgeo.2017.02.004
dc.relationinfo:eu-repo/semantics/altIdentifier/url/https://www.sciencedirect.com/science/article/pii/S0926224517300086
dc.rightshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.rightsinfo:eu-repo/semantics/restrictedAccess
dc.subjectAPS OPERATOR
dc.subjectCOMPACT FLAT MANIFOLDS
dc.subjectETA FUNCTION
dc.titleThe eta function and eta invariant of Z2r -manifolds
dc.typeArtículos de revistas
dc.typeArtículos de revistas
dc.typeArtículos de revistas


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