22 citations · 23 across the 8 of their papers we have counts for
6 papers · 1 filter
Ideals defining components of two-row Springer fibers
Cristina Sabando-Alvarez, Martha Precup
Springer fibers are subvarieties of the flag variety parameterized by nilpotent matrices. They are central objects of study in geometry representation theory. This paper focuses on…
Restricted inversion polynomials
Jeongwon Lee, Nathan Lesnevich, Martha Precup
For a finite subset of positive integers, the descent polynomial counts the number of permutations in that have descent set . We generalize descent…
Richardson tableaux and components of Springer fibers equal to Richardson varieties
Steven N. Karp, Martha E. Precup
Motivated by the study of Springer fibers and their totally nonnegative counterparts, we define a new subset of standard tableaux called Richardson tableaux. We characterize Richar…
An equivariant basis for the cohomology of Springer fibers
Martha Precup, Edward Richmond
Springer fibers are subvarieties of the flag variety that play an important role in combinatorics and geometric representation theory. In this paper, we analyze the equivariant coh…
Upper-triangular linear relations on multiplicities and the Stanley-Stembridge conjecture
Megumi Harada, Martha Precup
In 2015, Brosnan and Chow, and independently Guay-Paquet, proved the Shareshian-Wachs conjecture, which links the Stanley-Stembridge conjecture in combinatorics to the geometry of…
The cohomology of abelian Hessenberg varieties and the Stanley-Stembridge conjecture
Megumi Harada, Martha Precup
We define a subclass of Hessenberg varieties called abelian Hessenberg varieties, inspired by the theory of abelian ideals in a Lie algebra developed by Kostant and Peterson. We gi…