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Skew-symmetric Vanishing Lattices and Intersections of Schubert Cells

B. Shapiro, M. Shapiro, A. Vainshtein

math.AGarXiv:math/9802093

Abstract

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*2n-1 for n>5.

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