paper

Skew-symmetric Vanishing Lattices and Intersections of Schubert Cells

arXiv: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*2^{n-1} for n>5.

24 pages, 7 figures, AMSTeX, submitted to IMRN