Isospectrality and 3-manifold groups

Ruberman, Daniel

doi:10.1090/S0002-9939-00-05820-2

Isospectrality and $3$-manifold groups
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by Daniel Ruberman

Proc. Amer. Math. Soc. 129 (2001), 2467-2471

DOI: https://doi.org/10.1090/S0002-9939-00-05820-2

Published electronically: December 7, 2000

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Abstract:

The Chern-Simons and $\eta$-invariants are closely related invariants of a Riemannian $3$-manifold. A difference in their behavior under taking a finite covering space is exploited to give an obstruction to a group being the fundamental group of a closed $3$-dimensional manifold.

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