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| $\eta$-Invariant and Flat Vector Bundles |
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Citation： |
Xiaonan MA,Weiping ZHANG.$\eta$-Invariant and Flat Vector Bundles[J].Chinese Annals of Mathematics B,2006,27(1):67~72 |
| Page view： 1080
Net amount： 724 |
Authors： |
Xiaonan MA; Weiping ZHANG |
Foundation： |
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. |
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| Abstract： |
We present an alternate definition of the mod Z component of
the Atiyah-Patodi-Singer $\eta$ 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. |
Keywords： |
Flat vector bundle, $\eta$-Invariant, $\rho$-Invariant |
Classification： |
58J |
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