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Kervaire semi characteristic

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In mathematics, the Kervaire semi-characteristic, introduced by Kervaire (1956), is an invariant of manifolds M of dimension 4n+1 taking values in Z/2Z, given by

k(M) = i = 0 n dim H 2 i ( M , R ) mod 2

Atiyah & Singer (1971) showed that it is given by the index of a skew-adjoint elliptic operator.

References

Kervaire semi-characteristic Wikipedia


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