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Rozansky–Witten Invariants Via Formal Geometry

Published online by Cambridge University Press:  04 December 2007

MAXIM KONTSEVICH
MAXIM KONTSEVICH
Affiliation:
I.H.E.S., 35 Route de Chartres, Bures-sur-Yvette 91440, France; maxim@ihes.fr
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Abstract

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We show that recently constructed invariants of 3-dimensional manifolds and of hyperkähler manifolds (L. Rozansky and E. witten) come from characteristic classes of foliations and from Gelfand-fuks cohomology.

Keywords

characteristic classes of foliationssymplectic geometryhyperkähler manifoldsinvariants of finite typesupermanifolds.
Type
Research Article
Information
Compositio Mathematica , Volume 115 , Issue 1 , January 1999 , pp. 115 - 127
Copyright
© 1999 Kluwer Academic Publishers