Vassiliev Invariants from Symmetric Spaces

Research output: Working paperResearch

  • Indranil Biswas, Tata Institute of Fundamental Research
  • ,
  • Niels Leth Gammelgaard, Denmark
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.
Original languageEnglish
PublisherarXiv.org
Number of pages20
Publication statusPublished - 23 Oct 2014

    Research areas

  • math.GT, math.DG, 57M27, 53C25

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