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Paper detail

Complex valued Ray-Singer torsion

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 topological invariant. Conjecturally this analytically defined invariant computes the complex valued Reidemeister torsion, including its phase. We establish this conjecture in some non-trivial situations.

preprint2007arXivOpen access
Dan BurgheleaStefan Haller
math.DG
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Dan BurgheleaStefan Haller

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