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math.AG2021★ 2 cited
Permutation module decomposition of the second cohomology of a regular semisimple Hessenberg variety
Soojin Cho, Jaehyun Hong, Eunjeong Lee
Regular semisimple Hessenberg varieties admit actions of associated Weyl groups on their cohomology space of each degree. In this paper, we consider the module structure of the coh…
math.AG2020★ 1 cited
Bases of the equivariant cohomologies of regular semisimple Hessenberg varieties
Soojin Cho, Jaehyun Hong, Eunjeong Lee
We consider bases for the cohomology space of regular semisimple Hessenberg varieties, consisting of the classes that naturally arise from the Bialynicki-Birula decomposition of th…