Hostname: page-component-7bb8b95d7b-fmk2r Total loading time: 0 Render date: 2024-09-13T15:38:24.205Z Has data issue: false hasContentIssue false
  • English
  • Français

Free groups and finite-type invariants of pure braids

Published online by Cambridge University Press:  31 January 2002

JACOB MOSTOVOY  and
SIMON WILLERTON
JACOB MOSTOVOY
Affiliation:
Instituto de Matemáticas (Unidad Cuernavaca), Universidad Nacional Autónoma de México, A. P. 273-3 Cuernavaca, Morelos, Mexico. e-mail: [email protected]
SIMON WILLERTON
Affiliation:
Department of Mathematics, Heriot–Watt University, Edinburgh EH14 4AS. e-mail: [email protected]
Get access Rights & Permissions [Opens in a new window]

Abstract

In this paper finite type invariants (also known as Vassiliev invariants) of pure braids are considered from a group-theoretic point of view. New results include a construction of a universal invariant with integer coefficients based on the Magnus expansion of a free group and a calculation of numbers of independent invariants of each type for all pure braid groups.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 132 , Issue 1 , January 2002 , pp. 117 - 130
Copyright
2002 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.)