Geometry & Topology Monographs 2 (1999) 23–34

DOI: 10.2140/gtm.1999.2.23

arXiv: math.GT/9911247

Abstract

This paper concerns the Dehn surgery construction, especially those Dehn surgeries leaving the manifold unchanged. In particular, we describe an oriented 1–cusped hyperbolic 3–manifold X with a pair of slopes r₁, r₂ such that the Dehn filled manifolds X(r₁), X(r₂) are oppositely oriented copies of the lens space L(49,18), and there is no homeomorphism h of X such that h(r₁) = h(r₂).

Keywords

Dehn surgery, Dehn filling, hyperbolic knots

Mathematical Subject Classification

Primary: 57N10

Secondary: 57M25, 57M50

References

Publication

Received: 27 January 1999
Revised: 15 June 1999
Published: 17 November 1999

Authors