Eta invariants for flat manifolds

Details Eta invariants for flat manifolds Eta invariants for flat manifolds

2010-01-08

arxiv.org/abs/1001.1270v7

Mathematics

Differential Geometry

18 pages, a new version with referees comments

Scientific paper

10.1007/s10455-011-9274-0

Using H. Donnelly result from the article "Eta Invariants for G-Spaces" we calculate the eta invariants of the signature operator for almost all 7-dimensional flat manifolds with cyclic holonomy group. In all cases this eta invariants are an integer numbers. The article was motivated by D. D. Long and A. Reid article "On the geometric boundaries of hyperbolic 4-manifolds, Geom. Topology 4, 2000, 171-178

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