2005/07/30 by Xiaonan MA, MA, Xiaonan, Weiping Zhang +1
Mathematics · #Differential Geometry (math.DG) #FOS: Mathematics #math.DG
paper · pdf · doi:10.48550/arxiv.math/0508006
6 pages
arxiv created 2005/07/30 · arxiv updated 2016/09/07
We present an alternate definition of the mod \bf 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.