Scalar curvature, moment maps and the Deligne Pairing
  In this paper, we the improve the bound for the moment map derivative proved by Donaldson in his recent proof of the Hilbert-Mumford stability of complex manifolds with constant scalar curvature. The proof depends on the identification of Donaldson's symplectic form with the curvature of a certain Deligne pairing. 
D.H. Phong (Columbia University), Jacob Sturm (Rutgers   University/Newark)