Euler characteristics for links of Schubert cells in the space of complete flags

@inproceedings{Shapiro1990EulerCF,
  title={Euler characteristics for links of Schubert cells in the space of complete flags},
  author={B. Shapiro and A. Vainshtein},
  year={1990}
}
Let Fn be the space of complete flags in k (where k is R or C). With an arbitrary complete flag f ∈ Fn we associate the standard Schubert cell decomposition Schf of the space Fn whose cells are enumerated by elements from Sn while the dimension over k of such a cell equals the number of inversions in the corresponding permutation (see for example [FF] §5.4). Definition. The train Tnf of the flag f ∈ Fn is the union of all cells of Schf of positive codimension. Let cσ be the cell of the… Expand
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