Isospectrality and 3-manifold groups

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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.
AMS-LaTeX, 5 pages

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Geometric Topology, Differential Geometry, Group Theory, 57N10 (Primary) 57M60

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http://salesiana.dossiersoluciones.com/handle/123456789/76415

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/9712234
 http://arxiv.org/abs/math/9712234

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arXiv