伪流形上狄拉克型算子族的指数公式

IF 1.3 1区数学 Q1 MATHEMATICS

Journal of Differential Geometry Pub Date : 2023-10-01 DOI:10.4310/jdg/1696432923

Pierre Albin, Jesse Gell-Redman

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引用次数: 13

摘要

我们研究了与分层空间上的楔形度量相关的具有相容微扰的狄拉克型算子族。我们定义了一个闭域，并在可逆边界族的假设下，证明了算子是自伴随算子和具有紧解和迹类热核的Fredholm算子。建立了其指标的陈氏特征公式。

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The index formula for families of Dirac type operators on pseudomanifolds

We study families of Dirac-type operators, with compatible perturbations, associated to wedge metrics on stratified spaces. We define a closed domain and, under an assumption of invertible boundary families, prove that the operators are self-adjoint and Fredholm with compact resolvents and trace-class heat kernels. We establish a formula for the Chern character of their index.

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来源期刊

Journal of Differential Geometry 数学-数学

CiteScore

3.40

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Publishes the latest research in differential geometry and related areas of differential equations, mathematical physics, algebraic geometry, and geometric topology.