Compositio Mathematica



Rozansky–Witten Invariants Via Formal Geometry


MAXIM KONTSEVICH a1
a1 I.H.E.S., 35 Route de Chartres, Bures-sur-Yvette 91440, France; maxim@ihes.fr

Article author query
kontsevich m   [Google Scholar] 
 

Abstract

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..