Vassiliev Invariants from Symmetric Spaces

2014/10/23 by Indranil Biswas, Biswas, Indranil, Niels Leth Gammelgaard +1
Mathematics · #53C25 #57M27 #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Topology (math.GT) #math.DG #math.GT #msc:53C25 #msc:57M27

paper · pdf · doi:10.48550/arxiv.1410.6440

18 pages

arxiv created 2014/10/23 · arxiv updated 2014/10/24

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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