手征袋边界条件的稳定性定理
Stability theorems for chiral bag boundary conditions
摘要：
研究了模糊L2迹Fexp（-tp^2）和FPexp（-tP^2）的渐近展开，其中P是Dirac型算子，F是辅助光滑自同态.我们施加手征袋边界条件取决于角度θ。研究上述迹不变量的θ依赖性，识别出θ独立的片段。相关的稳定性定理允许一个显示的规律性的eta函数的问题，并确定最重要的热核系数的四维流形。
英文摘要：
We study asymptotic expansions of the smeared L2-traces Fexp(-t P^2) and FPexp(-tP^2), where P is an operator of Dirac type and F is an auxiliary smooth endomorphism. We impose chiral bag boundary conditions depending on an angle theta. Studying the theta-dependence of the above trace invariants, theta-independent pieces are identified. The associated stability theorems allow one to show the regularity of the eta function for the problem and to determine the most important heat kernel coefficient on a four dimensional manifold.
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