Skew-symmetric Vanishing Lattices and Intersections of Schubert Cells

Mathematics – Algebraic Geometry

Scientific paper

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24 pages, 7 figures, AMSTeX, submitted to IMRN

Scientific paper

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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