We prove that -matroids associated with maps on compact closed surfaces are representable, with the space of representation provided by cohomology of the surface with punctured po...
Alexandre V. Borovik, Israel M. Gelfand, Neil Whit...
In this paper we study inversions within restricted fillings of Young tableaux. These restricted fillings are of interest because they describe geometric properties of certain sub...
Abstract. We give explicit formulas for the Kazhdan-Lusztig P- and Rpolynomials for permutations coming from the variety F1,n−1 of incomplete flags consisting of a line and a hy...
The aim of this article is to link Schubert varieties in the flag manifold with hyperplane arrangements. For a permutation, we construct a certain graphical hyperplane arrangement....
Westudycomplexhyperplanearrangementswhoseintersectionlattices,known as the Dowling lattices, are a natural generalization of the partition lattice. We give a combinatorial descript...