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The $\eta$-invariants of cusped hyperbolic $3$-manifolds |
Canad. Math. Bull. 40(1997), 204-213
Published:1997-06-01
Printed: Jun 1997
Printed: Jun 1997
- Robert Meyerhoff
- Mingqing Ouyang
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 - Geometric structures on low-dimensional manifolds 53C30 - Homogeneous manifolds [See also 14M15, 14M17, 32M10, 57T15] 58G25 - unknown classification 58G25 |