Poincare polynomials of generic torus orbit closures in Schubert
varieties
Poincare polynomials of generic torus orbit closures in Schubert
varieties
The closure of a generic torus orbit in the flag variety $G/B$ of type $A$ is known to be a permutohedral variety and its Poincare polynomial agrees with the Eulerian polynomial. In this paper, we study the Poincare polynomial of a generic torus orbit closure in a Schubert variety in …