带谱边界条件的Eta不变量
Eta invariants with spectral boundary conditions
摘要：
我们研究了热迹$\Tr\{fPe^{-tP^2}\}$的渐近性，其中$P$是Dirac型算子，$f$是用于局部化问题的辅助光滑涂抹函数，并且我们施加了谱边界条件.利用函子技巧和特殊情况的计算，找到了渐近展开式中主导系数的边界部分。
英文摘要：
We study the asymptotics of the heat trace $\Tr\{fPe^{-tP^2}\}$ where $P$ is an operator of Dirac type, where $f$ is an auxiliary smooth smearing function which is used to localize the problem, and where we impose spectral boundary conditions. Using functorial techniques and special case calculations, the boundary part of the leading coefficients in the asymptotic expansion is found.
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