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ISSN (electronic): 1472-2739
ISSN (print): 1472-2747
An almost-integral universal Vassiliev invariant of knots

Simon Willerton

Algebraic & Geometric Topology 2 (2002) 649–664

arXiv: math.GT/0105190

Abstract

A “total Chern class” invariant of knots is defined. This is a universal Vassiliev invariant which is integral “on the level of Lie algebras” but it is not expressible as an integer sum of diagrams. The construction is motivated by similarities between the Kontsevich integral and the topological Chern character.

Keywords
Kontsevich integral, Chern character
Mathematical Subject Classification 2000
Primary: 57M27
Secondary: 57R20, 17B10
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Publication
Received: 9 May 2001
Revised: 17 April 2002
Accepted: 20 June 2002
Published: 9 August 2002
Authors
Simon Willerton
Department of Pure Mathematics
University of Sheffield
The Hicks Building
Hounsfield Road
Sheffield, S3 7RH
UK