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arXiv · 1703.02575

A heat kernel proof of the index theorem for deformation quantization

Alexander Karabegov
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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.

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Alexander Karabegov. 2017-04-20. A heat kernel proof of the index theorem for deformation quantization. https://doi.org/10.1007/s11005-017-0980-9

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