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η-Invariant and Flat Vector Bundles

Xiaonan MA Weiping ZHANG

数学年刊:B辑英文版
国际标准刊号:ISSN 0252-9599
Chinese Annals of Mathematics

分 类 号:

O182

相关文章:

参考文献(11篇)  主题相关

[参考文献]

η-Invariant and Flat Vector Bundles

Xiaonan;MA;Weiping;ZHANG

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 realandimaginary parts.This is done by combining a deformation of flatconnections introduced in a previous paper with the analytic continuation procedure appearing in the original article of Atiyah Patodi and Singer.[著者文摘]

Key words:

Flat vector bundle,η-Invariant ρ-Invariant

收稿日期: 2005-07-28

基金资助:

Project supported by the Cheung-Kong Scholaxship of the MinNtry of Education of China and the 973 Project of the Ministry of Science and Technology of China.

作者简介:

Centre de Mathematiques,UMR 7640 du CNRS,EcolePolytechnique,91128 Palaiseau Cedex,Franee.E-mail:ma@math.polytechnique.fr Nanlcai Institute of Mathematics and LPMC,Nankai University, Tianjin300071 , China.E-mail;weiping@nankai.edu.cn

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