Canadian Mathematical Society www.cms.math.ca
 location:  Publications → journals → CMB
Abstract view

# Reducing Spheres and Klein Bottles after Dehn Fillings

Published:2003-06-01
Printed: Jun 2003
• Seungsang Oh
 Format: HTML LaTeX MathJax PDF PostScript

## Abstract

Let $M$ be a compact, connected, orientable, irreducible 3-manifold with a torus boundary. It is known that if two Dehn fillings on $M$ along the boundary produce a reducible manifold and a manifold containing a Klein bottle, then the distance between the filling slopes is at most three. This paper gives a remarkably short proof of this result.
 Keywords: Dehn filling, reducible, Klein bottle
 MSC Classifications: 57M50 - Geometric structures on low-dimensional manifolds

© Canadian Mathematical Society, 2015 : https://cms.math.ca/