-
Michel André
Kervaire (26
April 1927 – 19
November 2007) was a
French mathematician who made
significant contributions to
topology and algebra. He introduced...
- In mathematics, the
Kervaire invariant is an
invariant of a
framed ( 4 k + 2 ) {\displaystyle (4k+2)} -dimensional
manifold that
measures whether the manifold...
- In mathematics,
specifically in
differential topology, a
Kervaire manifold K 4 n + 2 {\displaystyle K^{4n+2}} is a piecewise-linear
manifold of dimension...
- the
Rokhlin invariant of
integral homology 3-sphere. The
Kervaire–Milnor
theorem (
Kervaire &
Milnor 1960)
states that if Σ {\displaystyle \Sigma } is...
- In mathematics, the
Kervaire semi-characteristic,
introduced by
Michel Kervaire (1956), is an
invariant of
closed manifolds M of
dimension 4 n + 1 {\displaystyle...
-
Strickland and Rezk). On
April 21, 2009,
Hopkins announced the
solution of the
Kervaire invariant problem, in
joint work with Mike Hill and
Douglas Ravenel. This...
- sphere,
referring to any n-sphere with
nonstandard differential structure.
Kervaire and
Milnor initiated the
systematic study of
exotic spheres,
showing in...
- ) with
certain additional structure called a framing, and thus the Arf–
Kervaire invariant and the Arf
invariant of a knot. The Arf
invariant is analogous...
- } and
these invariants do not
always vanish for
other dimensions. The
Kervaire invariant is a mod 2 (i.e., an
element of Z/2{\displaystyle \mathbf {Z}...
- 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 non-trivial...
