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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