English

An almost-integral universal Vassiliev invariant of knots

Geometric Topology 2014-10-01 v2 Quantum Algebra

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

Cite

@article{arxiv.math/0105190,
  title  = {An almost-integral universal Vassiliev invariant of knots},
  author = {Simon Willerton},
  journal= {arXiv preprint arXiv:math/0105190},
  year   = {2014}
}

Comments

Published by Algebraic and Geometric Topology at http://www.maths.warwick.ac.uk/agt/AGTVol2/agt-2-29.abs.html