22 citations · 24 across the 12 of their papers we have counts for
Showing 2021Show all
3 papers · 1 filter
math.AG2021
Torus fixed point sets of Hessenberg Schubert varieties in regular semisimple Hessenberg varieties
Megumi Harada, Martha Precup
It is well-known that the -fixed points of a Schubert variety in the flag variety can be characterized purely combinatorially in terms of Bruhat order on th…
math.AG2021
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…
math.CO2021
Toward permutation bases in the equivariant cohomology rings of regular semisimple Hessenberg varieties
Megumi Harada, Martha Precup, Julianna Tymoczko
Recent work of Shareshian and Wachs, Brosnan and Chow, and Guay-Paquet connects the well-known Stanley-Stembridge conjecture in combinatorics to the dot action of the symmetric gro…