A heat kernel proof of the index theorem for deformation quantization
Quantum Algebra
2017-09-13 v2
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.
Cite
@article{arxiv.1703.02575,
title = {A heat kernel proof of the index theorem for deformation quantization},
author = {Alexander Karabegov},
journal= {arXiv preprint arXiv:1703.02575},
year = {2017}
}
Comments
53 pages, multiple typos corrected, exposition improved