Logarithmic Trace of Toeplitz Projectors
  We prove that the trace of the logarithmic term of the Toeplitz kernel on a contact manifold is a contact invariant, generalizing K. Hirachi's invariant for the Szego kernel on a CR manifold. When the base manifold is the three-sphere, this vanishes identically. 
Louis Boutet de Monvel (Universite Pierre et Marie Curie, Paris)