Analytic torsion
= Analytic torsion
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Analytic torsion is a spectral invariant constructed from regularized determinants of the Laplacians on differential forms with suitable flat coefficients. It is the analytic counterpart of combinatorial Reidemeister torsion, whose refinements include <Turaev torsion>; equality theorems relate the spectral and combinatorial invariants under appropriate hypotheses on the manifold and coefficients.