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Vassiliev invariants from symmetric spaces

School of Mathematics, Tata Institute of Fundamental Research, Homi Bhabha Road, Bombay 400005, India

E-mail Address: indranil@math.tifr.res.in

and

Centre for Quantum Geometry of Moduli Spaces (QGM), Aarhus University, Ny Munkegade 118, bldg. 1530, DK-8000 Aarhus C, Denmark

E-mail Address: nlg@qgm.au.dk

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https://doi.org/10.1142/S0218216516500553Cited by:1 (Source: Crossref)

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.

Keywords:

AMSC: 57M27, 32M15, 53C21

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