The index formula for families of Dirac type operators on pseudomanifolds
The index formula for families of Dirac type operators on pseudomanifolds
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DOI：
10.4310/jdg/1696432923
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发表时间：
2017-12
影响因子：
2.5
通讯作者：
Pierre Albin;Jesse Gell-Redman
中科院分区：
文献类型：
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作者：
Pierre Albin;Jesse Gell-Redman
我们研究了Dirac型算子的家庭，兼容扰动，与楔形度量分层空间。我们定义了一个封闭的区域，并在可逆的边界家庭的假设下，证明了运营商是自伴和Fredholm紧凑的预解式和迹类热核。我们建立了一个公式，他们的指数的陈特征。
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.