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Generalisations of Rozansky-Witten invariants

Justin Roberts·Justin Sawon
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Abstract

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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Justin Roberts, Justin Sawon. 2002-10-15. Generalisations of Rozansky-Witten invariants. https://arxiv.org/abs/math/0112210

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