A heat kernel proof of the index theorem for deformation quantization

被引：0

作者：

Alexander Karabegov

机构：

[1] Abilene Christian University,Department of Mathematics

来源：

Letters in Mathematical Physics | 2017年 / 107卷

关键词：

Deformation quantization; Index theorem; Supermanifold; Heat kernel; 53D55; 19K56; 58A50; 35K08;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We give a heat kernel proof of the algebraic index theorem for deformation quantization with separation of variables on a pseudo-Kähler 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.

引用

页码：2093 / 2145

页数：52

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