location:  Publications → journals → CMB
Abstract view

Essential Surfaces in Graph Link Exteriors

Published:2009-06-01
Printed: Jun 2009
• Toru Ikeda
 Format: HTML LaTeX MathJax PDF PostScript

Abstract

An irreducible graph manifold $M$ contains an essential torus if it is not a special Seifert manifold. Whether $M$ contains a closed essential surface of negative Euler characteristic or not depends on the difference of Seifert fibrations from the two sides of a torus system which splits $M$ into Seifert manifolds. However, it is not easy to characterize geometrically the class of irreducible graph manifolds which contain such surfaces. This article studies this problem in the case of graph link exteriors.
 Keywords: Graph link, Graph manifold, Seifert manifold, Essential surface
 MSC Classifications: 57M25 - Knots and links in $S^3$ {For higher dimensions, see 57Q45}

 top of page | contact us | privacy | site map |