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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Isospectrality and $3$-manifold groups
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by Daniel Ruberman PDF
Proc. Amer. Math. Soc. 129 (2001), 2467-2471 Request permission

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.
References
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Additional Information
  • Daniel Ruberman
  • Affiliation: Department of Mathematics, Brandeis University, Waltham, Massachusetts 02454
  • Email: ruberman@brandeis.edu
  • Received by editor(s): March 16, 1998
  • Received by editor(s) in revised form: December 6, 1999
  • Published electronically: December 7, 2000
  • Additional Notes: The author was partially supported by NSF Grant 4-50645
  • Communicated by: Ronald A. Fintushel
  • © Copyright 2000 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 129 (2001), 2467-2471
  • MSC (2000): Primary 57M10, 58J28
  • DOI: https://doi.org/10.1090/S0002-9939-00-05820-2
  • MathSciNet review: 1823933