Self-coincidence of mappings between spheres and the strong Kervaire invariant one problem

Autor(es)

Gonçalves‚ D. ; Randall‚ D.

• Tipo de documento: Artigo Científico
• Fonte: COMPTES RENDUS MATHEMATIQUE; v. 342, n. 7, p. 511-513, 2006.

Resumo

Let f : S4n-2 -> S-2n be a map between spheres of dimensions 4n - 2 and 2n with n > 4. We show that the existence of such a map satisfying the property that the pair (f, f): S4n-2 -> S-2n can be deformed to a coincidence free pair but cannot be deformed to coincidence free by small deformation is equivalent to the Strong Kervaire Invariant One Problem, i.e., the existence of an element of order 2 with Kervaire invariant one in the stable homotopy group pi(s)(2n-2). (AU)

• Processo FAPESP: 04/10229-6 - Topologia algébrica, geométrica e diferencial
• Beneficiário: Daciberg Lima Gonçalves
• Modalidade de apoio: Auxílio à Pesquisa - Temático