A heat kernel proof of the index theorem for deformation quantization

Abstract

We give a heat kernel proof of the algebraic index theorem for deformation quantization with separation of variables on a pseudo-Kahler manifold. We use normalizations of the canonical trace density of a star product and of the characteristic classes involved in the index formula for which this formula contains no extra constant factors.

53 pages, multiple typos corrected, exposition improved

References in corpus (1)

• On the phase form of a deformation quantization with separation of variables