Rozansky-Witten invariants via formal geometry
dg-ga
2008-02-03 v1 alg-geom
High Energy Physics - Theory
Algebraic Geometry
Differential Geometry
Quantum Algebra
q-alg
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.
Cite
@article{arxiv.dg-ga/9704009,
title = {Rozansky-Witten invariants via formal geometry},
author = {M. Kontsevich},
journal= {arXiv preprint arXiv:dg-ga/9704009},
year = {2008}
}
Comments
plain TeX, 11 pages