A new weight system on chord diagrams via hyperkähler geometry

Details A new weight system on chord diagrams via hyperkähler geometry A new weight system on chord diagrams via hyperkähler geometry

2000-02-25

arxiv.org/abs/math/0002218v1

Proc. 2nd Meeting on Quaternionic Structures in Mathematics and Physics, Rome 6-10 September 1999, World Scientific (2001), 34

Mathematics

Differential Geometry

LateX, 16 pages, 1 figure, Contribution to the Proceedings of the Second Meeting on Quaternionic Structures in Mathematics and

Scientific paper

A weight system on graph homology was constructed by Rozansky and Witten
using a compact hyperk\"ahler manifold. A variation of this construction
utilizing holomorphic vector bundles over the manifold gives a weight system on
chord diagrams. We investigate these weights from the hyperk\"ahler geometry
point of view.

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