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The η-Invariants of Cusped Hyperbolic 3-Manifolds

Published online by Cambridge University Press:  20 November 2018

Robert Meyerhoff  and
Mingqing Ouyang
Robert Meyerhoff
Affiliation:
Department of Mathematics Boston College Chestnut Hill, MA USA 02167, e-mail: meyerhoff-mt@hermes.bc.edu
Mingqing Ouyang
Affiliation:
Department of Mathematics University of Michigan Ann Arbor, MI USA 48109, e-mail: mouyang@math.lsa.umich.edu
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Abstract

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In this paper, we define the η-invariant for a cusped hyperbolic 3-manifold and discuss some of its applications. Such an invariant detects the chirality of a hyperbolic knot or link and can be used to distinguish many links with homeomorphic complements.

Keywords

Primary: 57M5053C30Secondary: 58G25
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 40 , Issue 2 , 01 June 1997 , pp. 204 - 213
Copyright
Copyright © Canadian Mathematical Society 1997

References

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