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math.DG2006★ 21 cited
Complex valued Ray--Singer torsion II
Dan Burghelea, Stefan Haller
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-…
math.DG2006★ 49 cited
Complex valued Ray-Singer torsion
Dan Burghelea, Stefan Haller
In the spirit of Ray and Singer we define a complex valued analytic torsion using non-selfadjoint Laplacians. We establish an anomaly formula which permits to turn this into a topo…