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- Analytic_torsion abstract "In mathematics, Reidemeister torsion (or R-torsion, or Reidemeister–Franz torsion) is a topological invariant of manifolds introduced by Kurt Reidemeister (Reidemeister (1935)) for 3-manifolds and generalized to higher dimensions by Franz (1935) and de Rham (1936).Analytic torsion (or Ray–Singer torsion) is an invariant of Riemannian manifolds defined by Ray and Singer (1971, 1973a, 1973b) as an analytic analogue of Reidemeister torsion. Cheeger (1977, 1979) and Müller (1978) proved Ray and Singer's conjecture that Reidemeister torsion and analytic torsion are the same for compact Riemannian manifolds.Reidemeister torsion was the first invariant in algebraic topology that could distinguish between spaces which are homotopy equivalent but not homeomorphic, and can thus be seen as the birth of geometric topology as a distinct field. It can be used to classify lens spaces.Reidemeister torsion is closely related to Whitehead torsion; see (Milnor 1966). For later work on torsion see the books (Turaev 2002), (Nicolaescu 2002, 2003). And it had given one of important motivation to arithmetic topology. (Mazur)".
- Analytic_torsion wikiPageExternalLink alexander_polynomial.pdf.
- Analytic_torsion wikiPageID "14388042".
- Analytic_torsion wikiPageLength "12503".
- Analytic_torsion wikiPageOutDegree "33".
- Analytic_torsion wikiPageRevisionID "646993962".
- Analytic_torsion wikiPageWikiLink 3-manifold.
- Analytic_torsion wikiPageWikiLink Algebraic_topology.
- Analytic_torsion wikiPageWikiLink Analytic_continuation.
- Analytic_torsion wikiPageWikiLink Analytic_torsion.
- Analytic_torsion wikiPageWikiLink Annals_of_Mathematics.
- Analytic_torsion wikiPageWikiLink Arithmetic_topology.
- Analytic_torsion wikiPageWikiLink Atiyah–Singer_index_theorem.
- Analytic_torsion wikiPageWikiLink CW_complex.
- Analytic_torsion wikiPageWikiLink Category:3-manifolds.
- Analytic_torsion wikiPageWikiLink Category:Differential_geometry.
- Analytic_torsion wikiPageWikiLink Category:Surgery_theory.
- Analytic_torsion wikiPageWikiLink Chern–Simons_theory.
- Analytic_torsion wikiPageWikiLink Covering_space.
- Analytic_torsion wikiPageWikiLink Dimension.
- Analytic_torsion wikiPageWikiLink Eigenvalue.
- Analytic_torsion wikiPageWikiLink Eigenvalues_and_eigenvectors.
- Analytic_torsion wikiPageWikiLink Fundamental_group.
- Analytic_torsion wikiPageWikiLink Geometric_topology.
- Analytic_torsion wikiPageWikiLink Homeomorphic.
- Analytic_torsion wikiPageWikiLink Homeomorphism.
- Analytic_torsion wikiPageWikiLink Homotopy.
- Analytic_torsion wikiPageWikiLink Homotopy_equivalent.
- Analytic_torsion wikiPageWikiLink Kurt_Reidemeister.
- Analytic_torsion wikiPageWikiLink Laplace_operator.
- Analytic_torsion wikiPageWikiLink Laplacian_operator.
- Analytic_torsion wikiPageWikiLink Lens_space.
- Analytic_torsion wikiPageWikiLink Manifold.
- Analytic_torsion wikiPageWikiLink PL_homeomorphism.
- Analytic_torsion wikiPageWikiLink Piecewise_linear_manifold.
- Analytic_torsion wikiPageWikiLink Poincaré_duality.
- Analytic_torsion wikiPageWikiLink Reidemeister_torsion.
- Analytic_torsion wikiPageWikiLink Riemannian_manifold.
- Analytic_torsion wikiPageWikiLink Topological_invariant.
- Analytic_torsion wikiPageWikiLink Topological_property.
- Analytic_torsion wikiPageWikiLink Universal_cover.
- Analytic_torsion wikiPageWikiLink Whitehead_torsion.
- Analytic_torsion wikiPageWikiLinkText "Analytic torsion".
- Analytic_torsion wikiPageWikiLinkText "Reidemeister torsion".
- Analytic_torsion wikiPageWikiLinkText "analytic torsion".
- Analytic_torsion first "A.S.".
- Analytic_torsion hasPhotoCollection Analytic_torsion.
- Analytic_torsion id "R/r080960".
- Analytic_torsion last "Cheeger".
- Analytic_torsion last "Mishchenko".
- Analytic_torsion last "Nicolaescu".
- Analytic_torsion last "Ray".
- Analytic_torsion last "Singer".
- Analytic_torsion title "Reidemeister torsion".
- Analytic_torsion txt "yes".
- Analytic_torsion wikiPageUsesTemplate Template:Citation.
- Analytic_torsion wikiPageUsesTemplate Template:Harv.
- Analytic_torsion wikiPageUsesTemplate Template:Harvs.
- Analytic_torsion wikiPageUsesTemplate Template:Harvtxt.
- Analytic_torsion wikiPageUsesTemplate Template:Springer.
- Analytic_torsion year "1971".
- Analytic_torsion year "1973".
- Analytic_torsion year "1977".
- Analytic_torsion year "1979".
- Analytic_torsion year "2002".
- Analytic_torsion year "2003".
- Analytic_torsion subject Category:3-manifolds.
- Analytic_torsion subject Category:Differential_geometry.
- Analytic_torsion subject Category:Surgery_theory.
- Analytic_torsion hypernym Invariant.
- Analytic_torsion type Physic.
- Analytic_torsion comment "In mathematics, Reidemeister torsion (or R-torsion, or Reidemeister–Franz torsion) is a topological invariant of manifolds introduced by Kurt Reidemeister (Reidemeister (1935)) for 3-manifolds and generalized to higher dimensions by Franz (1935) and de Rham (1936).Analytic torsion (or Ray–Singer torsion) is an invariant of Riemannian manifolds defined by Ray and Singer (1971, 1973a, 1973b) as an analytic analogue of Reidemeister torsion.".
- Analytic_torsion label "Analytic torsion".
- Analytic_torsion sameAs Analytische_Torsion.
- Analytic_torsion sameAs 解析的トーション.
- Analytic_torsion sameAs m.03d27gq.
- Analytic_torsion sameAs Q4751142.
- Analytic_torsion sameAs Q4751142.
- Analytic_torsion wasDerivedFrom Analytic_torsion?oldid=646993962.
- Analytic_torsion isPrimaryTopicOf Analytic_torsion.