Generalisations of Rozansky-Witten invariants

Details Generalisations of Rozansky-Witten invariants Generalisations of Rozansky-Witten invariants

2001-12-19

arxiv.org/abs/math/0112210v2

Geom. Topol. Monogr. 4 (2002) 263-279

Mathematics

Differential Geometry

Published by Geometry and Topology Monographs at http://www.maths.warwick.ac.uk/gt/GTMon4/paper17.abs.html

Scientific paper

We survey briefly the definition of the Rozansky-Witten invariants, and review their relevance to the study of compact hyperkahler manifolds. We consider how various generalisations of the invariants might prove useful for the study of non-compact hyperkahler manifolds, of quaternionic-Kahler manifolds, and of relations between hyperkahler manifolds and Lie algebras. The paper concludes with a list of additional problems.

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