Hostname: page-component-5cf477f64f-fcbfl Total loading time: 0 Render date: 2025-04-05T15:06:38.973Z Has data issue: false hasContentIssue false
  • English
  • Français

A certain linear representation of the classical braid group and its application to surface braids

Published online by Cambridge University Press:  28 September 2006

ISAO HASEGAWA
ISAO HASEGAWA
Affiliation:
Graduate School of Mathematical Sciences, University of Tokyo, Tokyo 153-8914, Japan. e-mail: [email protected]
Get access Rights & Permissions [Opens in a new window]

Abstract

In two-dimensional knot theory, the relationship between surface-links and surface braids has been studied. A surface braid is described by a monodromy representation on a punctured disk which maps into the classical braid group. In this paper, we study a surface braid via a linear representation of the classical braid group and give a remarkable example of surface braids.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 141 , Issue 2 , September 2006 , pp. 287 - 301
Copyright
2006 Cambridge Philosophical Society

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)