A heat kernel proof of the index theorem for deformation quantization

作者：Karabegov Alexander^*

来源：Letters in Mathematical Physics, 2017, 107(11): 2093-2145.

DOI：10.1007/s11005-017-0980-9

• Deformation quantization
• Index theorem
• Supermanifold
• Heat kernel

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.

• 出版日期2017-11