η-Invariant and Flat Vector Bundles*

Xiaonan Ma , Weiping Zhang

Chinese Annals of Mathematics, Series B ›› 2006, Vol. 27 ›› Issue (1) : 67 -72.

PDF
Chinese Annals of Mathematics, Series B ›› 2006, Vol. 27 ›› Issue (1) : 67 -72. DOI: 10.1007/s11401-005-0320-8
Original Articles

η-Invariant and Flat Vector Bundles*

Author information +
History +
PDF

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.

Keywords

Flat vector bundle / η-Invariant / p-Invariant / 58J

Cite this article

Download citation ▾
Xiaonan Ma, Weiping Zhang. η-Invariant and Flat Vector Bundles*. Chinese Annals of Mathematics, Series B, 2006, 27(1): 67-72 DOI:10.1007/s11401-005-0320-8

登录浏览全文

4963

注册一个新账户 忘记密码

References

AI Summary AI Mindmap
PDF

107

Accesses

0

Citation

Detail

Sections
Recommended

AI思维导图

/