Rozansky-Witten invariants via formal geometry

Abstract

We show that recently constructed invariants of 3-dimensional manifolds and of hyperkaehler manifolds (L.Rozansky and E.Witten, hep-th/9612216) come from characteristic classes of foliations and from Gelfand-Fuks cohomology. In particular, any symplectic foliation gives invariants of 3-manifolds. Our preprint has many intersections with the preprint alg-geom/9704009 by M.Kapranov.

plain TeX, 11 pages

References in corpus (1)

• Rozansky-Witten invariants via Atiyah classes

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