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arxiv: dg-ga/9704009 · v1 · submitted 1997-04-19 · dg-ga · alg-geom· hep-th· math.AG· math.DG· math.QA· q-alg

Rozansky-Witten invariants via formal geometry

classification dg-ga alg-geomhep-thmath.AGmath.DGmath.QAq-alg
keywords invariantsmanifoldspreprintalg-geomcharacteristicclassescohomologycome
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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.

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