Exotic automorphisms of the Schouten algebra of polyvector fields

Abstract

Using a new compactification of the (braid) configuration space of n points in the upper half plane we construct a family of exotic Lie-infinity automorphisms of the Schouten algebra of polyvector fields on an affine space depending on a Kontsevich type propagator.

A much simpler renormalization of weights is given. It works not only for fundamental chains but also for arbitary chains in our compactification (the original renormalization is correct, and will be discussed and compared with the new one elsewhere)