| η-Invariant and Flat Vector Bundles |
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| 作者姓名： | Xiaonan MA Weiping ZHANG (Dedicated to the memory of Shiing-Shen Chern) |
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| 基金项目： | Project supported by the Cheung-Kong Scholarship of the Ministry of Education of Chinathe 973 Project of the Ministry of Science and Technology of China. |
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| 摘 要： | 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.
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| 关 键 词： | Flat vector bundle η-Invariant ρ-Invariant |
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