Kervaire manifold explained

In mathematics, specifically in differential topology, a Kervaire manifold

K ^{4n+2} is a piecewise-linear manifold of dimension 4 n +2 constructed by by plumbing together the tangent bundles of two ( 2 n +1 ) -spheres, and then gluing a ball to the result. In 10 dimensions this gives a piecewise-linear manifold with no smooth structure.

See also

• Exotic sphere