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math.DG2004★ 32 cited
Rozansky-Witten invariants of hyperkähler manifolds
Justin Sawon
We investigate invariants of compact hyperk{ä}hler manifolds introduced by Rozansky and Witten: they associate an invariant to each graph homology class. It is obtained by using th…
math.DG2001
Generalisations of Rozansky-Witten invariants
Justin Roberts, Justin Sawon
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 generalisation…
math.DG1999
Curvature and characteristic numbers of hyperkähler manifolds
Nigel Hitchin, Justin Sawon
We express characteristic numbers of compact hyperkähler manifolds in graph-theoretical form, considering them as a special case of the curvature invariants introduced by Rozansky…