%0 Journal Article
%T η-invariant and flat vector bundles II
%A Xiaonan Ma
%A Weiping Zhang
%J Mathematics
%D 2006
%I arXiv
%X We first apply the method and results in the previous paper to give a new proof of a result (hold in $ {\bf C}/{\bf Z}$) of Gilkey on the variation of h-invariants associated to non self-adjoint Dirac type operators. We then give an explicit local expression of certain h-invariant appearing in recent papers of Braverman-Kappeler on what they call refined analytic torsion, and propose an alternate formulation of their definition of the refined analytic torsion. A refinement in ${\bf C}$ of the above variation formula is also proposed.
%U http://arxiv.org/abs/math/0604357v2