$\eta$-invariant and flat vector bundles
微分几何
2016-09-07 v1
摘要
We present an alternate definition of the mod {\bf Z} component of the Atiyah-Patodi-Singer 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.
引用
@article{arxiv.math/0508006,
title = {$\eta$-invariant and flat vector bundles},
author = {Xiaonan MA and Weiping Zhang},
journal= {arXiv preprint arXiv:math/0508006},
year = {2016}
}
备注
6 pages