Vassiliev Invariants from Symmetric Spaces

Indranil Biswas; Niels Leth Gammelgaard

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arXiv · 1410.6440

Vassiliev Invariants from Symmetric Spaces

Indranil Biswas·Niels Leth Gammelgaard

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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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Indranil Biswas, Niels Leth Gammelgaard. 2014-10-23. Vassiliev Invariants from Symmetric Spaces. https://arxiv.org/abs/1410.6440

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