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.
Willerton, Simon  1
@article{10_2140_agt_2002_2_649,
author = {Willerton, Simon},
title = {An almost-integral universal {Vassiliev} invariant of knots},
journal = {Algebraic and Geometric Topology},
pages = {649--664},
year = {2002},
volume = {2},
number = {2},
doi = {10.2140/agt.2002.2.649},
url = {http://geodesic.mathdoc.fr/articles/10.2140/agt.2002.2.649/}
}
TY - JOUR AU - Willerton, Simon TI - An almost-integral universal Vassiliev invariant of knots JO - Algebraic and Geometric Topology PY - 2002 SP - 649 EP - 664 VL - 2 IS - 2 UR - http://geodesic.mathdoc.fr/articles/10.2140/agt.2002.2.649/ DO - 10.2140/agt.2002.2.649 ID - 10_2140_agt_2002_2_649 ER -
Willerton, Simon. An almost-integral universal Vassiliev invariant of knots. Algebraic and Geometric Topology, Tome 2 (2002) no. 2, pp. 649-664. doi: 10.2140/agt.2002.2.649
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