# analytic torsion

> topological invariant of manifolds that can distinguish homotopy-equivalent manifolds; computable as a regularized determinant of the Laplacian for an arbitrary Riemannian metric

**Wikidata**: [Q4751142](https://www.wikidata.org/wiki/Q4751142)  
**Wikipedia**: [English](https://en.wikipedia.org/wiki/Analytic_torsion)  
**Source**: https://4ort.xyz/entity/analytic-torsion