# 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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#### References

SHOWING 1-9 OF 9 REFERENCES

A Course in Homotopical Topology

- A Course in Homotopical Topology
- 1989

Equivariant cohomology and Kaehlerian geometry , Funct

- Anal . i ego Prilozh .
- 1989

On integral calculus based on Euler characteristics

- Lecture Notes in Mathematics N.Y
- 1988

On integral calculus based on Euler characteristics, Topology & Geometry

- Rohlin Seminar (O. Y. Viro, ed.). Lecture Notes in Mathematics,
- 1988

Equivariant cohomology and Kaehlerian geometry

- Funct. Anal. i ego Prilozh
- 1987

Equivariant cohomology and Kaehlerian geometry, Funct. Anal. i ego Prilozh

- Equivariant cohomology and Kaehlerian geometry, Funct. Anal. i ego Prilozh
- 1987

Ten problems, The theory of singularities and its applications (series Advances in Soviet Mathematics) (to appear)

- Ten problems, The theory of singularities and its applications (series Advances in Soviet Mathematics) (to appear)