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
en-GB/ˌænəˈlɪtɪk ˈtɔːʃn/
en-US/ˌænəˈlɪtɪk ˈtɔɹʃən/
topological invariant of manifolds that can distinguish homotopy-equivalent manifolds; computable as a regularized determinant of the Laplacian for an arbitrary Riemannian metric