Skew-symmetric Vanishing Lattices and Intersections of Schubert Cells
classification
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math.CO
keywords
cellsschubertcompletecomponentsconnectedequalsflagsintersection
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We prove that the number of connected components in the intersection of two open opposite Schubert cells in the variety of complete real n-dimensional flags equals 3*2^{n-1} for n>5.
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