22 citations · 23 across the 3 of their papers we have counts for
7 papers
Which Schubert Varieties are Hessenberg Varieties?
Laura Escobar, Martha Precup, John Shareshian
After proving that every Schubert variety in the full flag variety of a complex reductive group is a general Hessenberg variety, we show that not all such Schubert varieties ar…
A new approach to the generalized Springer correspondence
William Graham, Martha Precup, Amber Russell
The Springer resolution of the nilpotent cone is used to give a geometric construction of the irreducible representations of Weyl groups. Borho and MacPherson obtain the Springer c…
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 singular locus of semisimple Hessenberg varieties
Erik Insko, Martha Precup
Although regular semisimple Hessenberg varieties are smooth and irreducible, semisimple Hessenberg varieties are not necessarily smooth in general. In this paper we determine the i…
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…