Eta invariants for flat manifolds
Differential Geometry
2021-07-16 v7 Geometric Topology
Abstract
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
Cite
@article{arxiv.1001.1270,
title = {Eta invariants for flat manifolds},
author = {Andrzej Szczepanski},
journal= {arXiv preprint arXiv:1001.1270},
year = {2021}
}
Comments
18 pages, a new version with referees comments