Compositio Mathematica

Rozansky–Witten Invariants Via Formal Geometry

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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.

Key Words: characteristic classes of foliations; symplectic geometry; hyperkähler manifolds; invariants of finite type; supermanifolds..