##  [Analytic Torsion](/analytic-torsion) 

  ##  [Analytic Torsion](https://puremath.quantumdictionary.io/analytic-torsion-0) 

  

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- Mathematics & Logic -

**Pure Mathematics Dictionary**

 







 

 

 

 



 

 

 

 

Definition

A spectral invariant of a closed Riemannian manifold (possibly with a flat vector bundle) defined as a weighted product of zeta-regularized determinants of the Hodge Laplacians on differential forms; it refines topological Reidemeister torsion by analytic means and is sensitive to the spectrum of Laplacians across degrees.