| η-Invariant and Flat Vector Bundles |
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| 作者姓名： | Xiaonan MA Weiping ZHANG |
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| 摘 要： |
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| 关 键 词： | η-不变量 平向量束 几何分析 解析几何 |
| 收稿时间： | 28 July 2005 |
$\eta$-Invariant and Flat Vector Bundles |
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| Xiaonan MA,Weiping ZHANG.$\eta$-Invariant and Flat Vector Bundles[J].Chinese Annals of Mathematics,Series B,2006,27(1):67-72. |
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| Authors: | Xiaonan MA and Weiping ZHANG |
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| Institution: | (1) Centre de Mathématiques, UMR 7640 du CNRS, école Polytechnique, 91128 Palaiseau Cedex, France;(2) Nankai Institute of Mathematics and LPMC, Nankai University, Tianjin 300071, China |
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| Abstract: | Abstract We present an alternate definition of the mod Z component of the Atiyah-Patodi-Singer η invariant associated to (not necessary unitary) flat vector bundles, which identifies
explicitly its real and imaginary parts. This is done by combining a deformation of flat connections introduced in a previous
paper with the analytic continuation procedure appearing in the original article of Atiyah, Patodi and Singer.
* Project supported by the Cheung-Kong Scholarship of the Ministry of Education of China and the 973 Project of the Ministry
of Science and Technology of China.
(Dedicated to the memory of Shiing-Shen Chern) |
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| Keywords: | Flat vector bundle η -Invariant p-Invariant |
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