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A new weight system on chord diagrams via hyperkähler geometry

Justin Sawon

math.DGarXiv:math/0002218

Abstract

A weight system on graph homology was constructed by Rozansky and Witten using a compact hyperkähler 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 hyperkähler geometry point of view.

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