Z₂-index of the grassmanian G₂ₙⁿ
Karasev, R. N.
Original · EN
We study the real Grassmann manifold G₂ₙⁿ (of n-subspaces in R²ⁿ), and the action of Z₂ on it by taking the orthogonal complement. The homological index of this action is estimated from above and from below. In case n is a power of two it is shown that G₂ₙⁿ=2n-1.
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