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- Kervaire_invariant abstract "In mathematics, the Kervaire invariant, named for Michel Kervaire, is defined in geometric topology. It is an invariant of a (4k+2)-dimensional (singly even-dimensional) framed differentiable manifold (or more generally PL-manifold) M, taking values in the 2-element group Z/2Z = {0,1}. The Kervaire invariant is defined as the Arf invariant of the skew-quadratic form on the middle dimensional homology group. It can be thought of as the simply-connected quadratic L-group and thus analogous to the other invariants from L-theory: the signature, a 4k-dimensional invariant (either symmetric or quadratic, ), and the De Rham invariant, a (4k+1)-dimensional symmetric invariant The Kervaire invariant problem is the problem of determining in which dimensions the Kervaire invariant can be nonzero. For differentiable manifolds, this can happen in dimensions 2, 6, 14, 30, 62, and possibly 126, and in no other dimensions. The final case of dimension 126 remains open.".
- Kervaire_invariant wikiPageExternalLink 1104.4523.
- Kervaire_invariant wikiPageExternalLink kervaire_invariant_one_problem.html.
- Kervaire_invariant wikiPageExternalLink Exotic_spheres.
- Kervaire_invariant wikiPageExternalLink ksem.html.
- Kervaire_invariant wikiPageExternalLink rtx110600804p.pdf.
- Kervaire_invariant wikiPageExternalLink kervaire.html.
- Kervaire_invariant wikiPageExternalLink atiyah80.htm.
- Kervaire_invariant wikiPageExternalLink article.cfm?id=hypersphere-exotica.
- Kervaire_invariant wikiPageExternalLink mathematicians-solve-45-year-old-kervaire-invariant-puzzle.
- Kervaire_invariant wikiPageID "13816037".
- Kervaire_invariant wikiPageRevisionID "604116269".
- Kervaire_invariant first "A.V.".
- Kervaire_invariant first "M.A.".
- Kervaire_invariant hasPhotoCollection Kervaire_invariant.
- Kervaire_invariant id "A/a013230".
- Kervaire_invariant id "K/k055350".
- Kervaire_invariant id "k/k055360".
- Kervaire_invariant last "Chernavskii".
- Kervaire_invariant last "Shtan'ko".
- Kervaire_invariant title "Arf invariant".
- Kervaire_invariant title "Kervaire invariant".
- Kervaire_invariant title "Kervaire-Milnor invariant".
- Kervaire_invariant subject Category:Differential_topology.
- Kervaire_invariant subject Category:Surgery_theory.
- Kervaire_invariant comment "In mathematics, the Kervaire invariant, named for Michel Kervaire, is defined in geometric topology. It is an invariant of a (4k+2)-dimensional (singly even-dimensional) framed differentiable manifold (or more generally PL-manifold) M, taking values in the 2-element group Z/2Z = {0,1}. The Kervaire invariant is defined as the Arf invariant of the skew-quadratic form on the middle dimensional homology group.".
- Kervaire_invariant label "Kervaire invariant".
- Kervaire_invariant sameAs m.03ck3q5.
- Kervaire_invariant sameAs Q6394805.
- Kervaire_invariant sameAs Q6394805.
- Kervaire_invariant wasDerivedFrom Kervaire_invariant?oldid=604116269.
- Kervaire_invariant isPrimaryTopicOf Kervaire_invariant.