Resumen

PODESTA, Ricardo A.. Eta series and eta invariants of Z₄-manifolds. Rev. Unión Mat. Argent. [online]. 2005, vol.46, n.1, pp.31-45. ISSN 0041-6932.

In this paper, for each , we construct a family of compact flat spin -manifolds with holonomy group isomorphic to such that the spectrum of the Dirac operator is asymmetric. For these manifolds we will obtain explicit expressions for the eta series, , in terms of Hurwitz zeta functions, and for the eta-invariant, , associated to . The explicit expressions will show the meromorphic continuation of to is in fact everywhere holomorphic.

Palabras clave : Dirac operator; Eta series; Eta invariant; Flat manifolds.

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