ar X iv : m at h . D G / 0 61 08 75 v 1 2 8 O ct 2 00 6 COMPLEX VALUED RAY – SINGER TORSION II DAN
نویسنده
چکیده
In this paper we extend Witten–Helffer–Sjöstrand theory from selfadjoint Laplacians based on fiber wise Hermitian structures, to non-selfadjoint Laplacians based on fiber wise non-degenerate symmetric bilinear forms. As an application we verify, up to sign, the conjecture about the comparison of the Milnor–Turaev torsion with the complex valued analytic torsion, for odd dimensional manifolds. This is done along the lines of Burghelea, Friedlander and Kappeler’s proof of the Cheeger–Müller theorem.
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