A formal moment map on ${\text{Diff}}_0(M)$

Abstract

In the framework of deformation quantization, we obtain a deformation of Donaldson moment map on ${\text{Diff}}_0(M)$, the connected component of the group of diffeomorphisms of a symplectic manifold $(M,\omega )$ admitting another symplectic structure $\chi$.

16 pages, comments are welcome