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.

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Louis H Kauffman
Department of Mathematics, Statistics and Computer Science
University of Illinois at Chicago
851 South Morgan Street, Chicago, IL 60607-7045, USA
Email: kauffman@uic.edu

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