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math.CO2017★ 22 cited
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…
math.CO2017
Springer fibers and Schubert points
Martha Precup, Julianna Tymoczko
Springer fibers are subvarieties of the flag variety parametrized by partitions; they are central objects of study in geometric representation theory. Schubert varieties are subvar…