High Quality Content by WIKIPEDIA articles! In mathematics, the Kervaire invariant, named for Michel Kervaire, is defined in geometric topology. It is an invariant of an (4k+2)-dimensional (singly even-dimensional) framed differentiable 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.

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