Michel André Kervaire (26 April 1927 – 19 November 2007) was a French mathematician who made significant contributions to topology and algebra. He introduced...

1 otherwise. This invariant was named after Michel Kervaire who built on work of Cahit Arf. The Kervaire invariant is defined as the Arf invariant of...

Kervaire manifold K 4 n + 2 {\displaystyle K^{4n+2}} is a piecewise-linear manifold of dimension 4 n + 2 {\displaystyle 4n+2} constructed by Michel Kervaire (1960)...

In mathematics, the Kervaire semi-characteristic, introduced by Michel Kervaire (1956), is an invariant of closed manifolds M of dimension 4 n + 1 {\displaystyle...

if the dimension is not 4. The classification of exotic spheres by Michel Kervaire and Milnor (1963) showed that the oriented exotic 7-spheres are the...

the same cobordism class. The classification of exotic spheres by Michel Kervaire and Milnor (1963) led to the emergence of surgery theory as a major...

P. Feynman, Y. Foures, Thomas Gold, J. N. Goldberg, Peter Havas, Michel Kervaire, B. N. Kursunoglu, Bertel Laurent, André Lichnerowicz, Arthur E. Lilley...

than one smooth structure—see Exotic sphere and Donaldson's theorem. Michel Kervaire exhibited topological manifolds with no smooth structure at all. Some...

_{1}(X)\to \pi _{1}(Y)} . The plus construction was introduced by Michel Kervaire (1969), and was used by Daniel Quillen to define algebraic K-theory...

must be of dimension 1, 2, 4, or 8. This was independently proved by Michel Kervaire and John Milnor in 1958, again using techniques of algebraic topology...