Kervaire manifold

In mathematics, specifically in differential topology, a Kervaire manifold $K^{4n+2}$ is a piecewise-linear manifold of dimension $4n+2$ constructed by Template:Harvs by plumbing together the tangent bundles of two $(2n+1)$-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

References

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