28 citations · 90 across the 19 of their papers we have counts for
Showing math.COShow all
3 papers · 1 filter
math.CO2014★ 1 cited
Young diagrams and intersection numbers for toric manifolds associated with Weyl chambers
Hiraku Abe
We study intersection numbers of invariant divisors in the toric manifold associated with the fan determined by the collection of Weyl chambers for each root system of classical ty…
math.CO2014★ 6 cited
Consequences of the Lakshmibai-Sandhya Theorem: the ubiquity of permutation patterns in Schubert calculus and related geometry
Hiraku Abe, Sara Billey
In 1990, Lakshmibai and Sandhya published a characterization of singular Schubert varieties in flag manifolds using the notion of pattern avoidance. This was the first time pattern…
math.CO2012
Schur polynomials and Weighted Grassmannians
Hiraku Abe, Tomoo Matsumura
In this paper, we introduce a family of symmetric polynomials by specializing the factorial Schur polynomials. These polynomials represent the weighted Schubert classes of the coho…