An almost-integral universal Vassiliev invariant of knots

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.

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Keywords

Kontsevich integral, Chern character

Mathematical Subject Classification 2000

Primary: 57M27

Secondary: 57R20, 17B10

References

Forward citations

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

Volume 2, issue 2 (2002)

Simon Willerton

Abstract