A new weight system on chord diagrams via hyperkähler geometry

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.

Appears in the Proceedings of the Second Meeting on Quaternionic Structures in Mathematics and Physics (available electronically). Also available as preprint number 835 in the ESI preprint series and as math.DG/0002218 from the e-Print archive.

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Wednesday, 31-Aug-2005 14:55:33 MDT
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