Geometry & Topology Monographs 2 (1999), Proceedings of the Kirbyfest, paper no. 12, pages 215-232.

Right integrals and invariants of three-manifolds

Louis H Kauffman

Abstract. This paper gives a summary of our approach to invariants of three manifolds via right integrals on finite dimensional Hopf algebras and their relation to the Kirby calculus.

Keywords. Three-manifold, knot, link, Hopf algebra, antipode, ribbon element, trace, right integral

AMS subject classification. Primary: 57N10. Secondary: 57M50.

E-print: arXiv:math.GT/9911252

Submitted: 20 January 1999. (Revised: 28 July 1999.) Published: 18 November 1999.

Notes on file formats

Louis H Kauffman
Department of Mathematics, Statistics and Computer Science
University of Illinois at Chicago
851 South Morgan Street, Chicago, IL 60607-7045, USA

GT home page

EMIS/ELibM Electronic Journals

Outdated Archival Version

These pages are not updated anymore. They reflect the state of 21 Apr 2006. For the current production of this journal, please refer to