Effective Batalin--Vilkovisky theories, equivariant configuration spaces and cyclic chains

Understand

Kontsevich's formality theorem states that the differential graded Lie algebra of multidifferential operators on a manifold M is L-infinity-quasi-isomorphic to its cohomology.

• The construction of the L-infinity map is given in terms of integrals of differential forms on configuration spaces of points in the upper half-plane.
• Here we consider configuration spaces of points in the disk and work equivariantly with respect to the rotation group.
• This leads to considering the differential graded Lie algebra of multivector fields endowed with a divergence operator.