Regularized determinants of Laplace-type operators, analytic surgery, and relative determinants
Regularized determinants of Laplace-type operators, analytic surgery, and relative determinants
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拉普拉斯型算子的正则化行列式、分析手术和相对行列式
DOI：
10.1215/s0012-7094-06-13323-9
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发表时间：
2004
期刊：
影响因子：
--
通讯作者：
Werner Mueller
中科院分区：
文献类型：
--
作者：
Joern Mueller;Werner Mueller
研究了一类拉普拉斯型算子的正则行列式关于其基础流形的奇异变形的渐近性态，这些奇异变形是通过将嵌入分离超曲面的管状邻域拉伸到无限长的圆柱上得到的.利用渐近展开式，我们导出了拉普拉斯型算子正则化行列式的绝热分裂公式.
We study the asymptotic behaviour of regularized determinants of certain Laplace type operators with respect to singular deformations of the underlying manifold which are obtained by stretching a tubular neighborhood of an embedded separating hypersurface to a cylinder of infinite length. Using the asymptotic expansions, we derive adiabatic splitting formulas for regularized determinants of Laplace type operators.