Kervaire manifold
In mathematics, specifically in differential topology, a Kervaire manifold K4n+2 is a piecewise-linear manifold of dimension 4n+2 constructed by Kervaire (1960) 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
References
- Kervaire, M. (1960), "A manifold which does not admit any differentiable structure", Comm. Math. Helv., 34: 257–270, MR 0139172, doi:10.1007/BF02565940
- Shtan'ko, M.A. (2001) [1994], "Kervaire invariant", in Hazewinkel, Michiel, Encyclopedia of Mathematics, Springer Science+Business Media B.V. / Kluwer Academic Publishers, ISBN 978-1-55608-010-4
- Shtan'ko, M.A. (2001) [1994], "Dendritic manifold", in Hazewinkel, Michiel, Encyclopedia of Mathematics, Springer Science+Business Media B.V. / Kluwer Academic Publishers, ISBN 978-1-55608-010-4
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