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(Reference retrieved automatically from Google Scholar through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

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

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Author(s):
Gonçalves‚ D. ; Randall‚ D.
Total Authors: 2
Document type: Journal article
Source: COMPTES RENDUS MATHEMATIQUE; v. 342, n. 7, p. 511-513, 2006.
Abstract

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)

FAPESP's process: 04/10229-6 - Algebraic, geometric and differential topology
Grantee:Daciberg Lima Gonçalves
Support Opportunities: Research Projects - Thematic Grants