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The $\eta$-invariants of cusped hyperbolic $3$-manifolds

  Published:1997-06-01
 Printed: Jun 1997
  • Robert Meyerhoff
  • Mingqing Ouyang
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Abstract

In this paper, we define the $\eta$-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.
MSC Classifications: 57M50, 53C30, 58G25 show english descriptions Geometric structures on low-dimensional manifolds
Homogeneous manifolds [See also 14M15, 14M17, 32M10, 57T15]
unknown classification 58G25
57M50 - Geometric structures on low-dimensional manifolds
53C30 - Homogeneous manifolds [See also 14M15, 14M17, 32M10, 57T15]
58G25 - unknown classification 58G25
 

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