Isospectrality and 3-manifold groups
Geometric Topology
2007-05-23 v1 dg-ga
Differential Geometry
Group Theory
Abstract
The relationship between the Chern-Simons invariant and eta-invariant of a 3-manifold is shown to lead to an obstruction to a group being the fundamental group of a closed oriented 3-manifold. The proof uses Sunada's construction of isospectral manifolds as covering spaces over a common base space.
Cite
@article{arxiv.math/9712234,
title = {Isospectrality and 3-manifold groups},
author = {Daniel Ruberman},
journal= {arXiv preprint arXiv:math/9712234},
year = {2007}
}
Comments
AMS-LaTeX, 5 pages