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
Thing topological_property Q4751142
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analytic torsion

Summary

analytic torsion is a topological property[1]. It draws 19 Wikipedia views per month (topological_property category, ranking #8 of 9).[2]

Key Facts

  • analytic torsion's instance of is recorded as topological property[3].
  • Kurt Reidemeister is named after analytic torsion[4].
  • Daniel Burrill Ray is named after analytic torsion[5].
  • Isadore Singer is named after analytic torsion[6].
  • analytic torsion's said to be the same as is recorded as Reidemeister torsion[7].
  • analytic torsion's Freebase ID is recorded as /m/03d27gq[8].
  • analytic torsion's defining formula is recorded as T(M,E)=\exp \left(\sum {k}(-1)^{k}k\zeta {k}^{\prime }(0)/2\right)=\prod {k}\Delta {k}^{-(-1)^{k}k/2}[9].
  • analytic torsion's MathWorld ID is recorded as AnalyticTorsion[10].
  • analytic torsion's nLab ID is recorded as analytic torsion[11].
  • analytic torsion's maintained by WikiProject is recorded as WikiProject Mathematics[12].
  • analytic torsion's Microsoft Academic ID is recorded as 2775853559[13].

Why It Matters

analytic torsion draws 19 Wikipedia views per month (topological_property category, ranking #8 of 9).[2]

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Use these citations when quoting this entity in research, articles, AI prompts, or wherever provenance matters. We aggregate Wikidata + Wikipedia + authoritative open-data sources; the stitched, scored, cross-referenced view is what 4ort.xyz contributes.

APA 4ort.xyz Knowledge Graph. (2026). analytic torsion. Retrieved May 3, 2026, from https://4ort.xyz/entity/analytic-torsion
MLA “analytic torsion.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/analytic-torsion.
BibTeX @misc{4ortxyz_analytic-torsion_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{analytic torsion}}, year = {2026}, url = {https://4ort.xyz/entity/analytic-torsion}, note = {Accessed: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): analytic torsion — https://4ort.xyz/entity/analytic-torsion (retrieved 2026-05-03)

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