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.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
Author information
Authors and Affiliations
Corresponding author
Additional information
* 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)
Rights and permissions
About this article
Cite this article
Ma, X., Zhang, W. η-Invariant and Flat Vector Bundles*. Chin. Ann. Math. Ser. B 27, 67–72 (2006). https://doi.org/10.1007/s11401-005-0320-8
Received:
Issue Date:
DOI: https://doi.org/10.1007/s11401-005-0320-8