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arxiv: 1410.6440 · v1 · pith:V5GWOCDRnew · submitted 2014-10-23 · 🧮 math.GT · math.DG

Vassiliev Invariants from Symmetric Spaces

classification 🧮 math.GT math.DG
keywords algebraweightcurvaturespacesymmetricsystemstensoraction
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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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