Vassiliev Invariants from Symmetric Spaces
Geometric Topology
2014-10-24 v1 Differential Geometry
Abstract
We construct a natural framed weight system on chord diagrams from the curvature tensor of any pseudo-Riemannian symmetric space. These weight systems are of Lie algebra type and realized by the action of the holonomy Lie algebra on a tangent space. Among the Lie algebra weight systems, they are exactly characterized by having the symmetries of the Riemann curvature tensor.
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Cite
@article{arxiv.1410.6440,
title = {Vassiliev Invariants from Symmetric Spaces},
author = {Indranil Biswas and Niels Leth Gammelgaard},
journal= {arXiv preprint arXiv:1410.6440},
year = {2014}
}
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18 pages