η-invariant and flat vector bundles II
نویسندگان
چکیده
We first apply the method and results in the previous paper to give a new proof of a result (hold in C/Z) of Gilkey on the variation of ηinvariants associated to non self-adjoint Dirac type operators. We then give an explicit local expression of certain η-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 C of the above variation formula is also proposed.
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تاریخ انتشار 2006