Complex valued Ray-Singer torsion

Details Complex valued Ray-Singer torsion Complex valued Ray-Singer torsion

2006-04-22

arxiv.org/abs/math/0604484v3

Mathematics

Differential Geometry

Fixed two sign mistakes and added a few more details here and there

Scientific paper

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.

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