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math.AG2023★ 1 cited
Geometry of the twin manifolds of regular semisimple Hessenberg varieties and unicellular LLT polynomials
Young-Hoon Kiem, Donggun Lee
Recently, Masuda-Sato and Precup-Sommers independently proved an LLT version of the Shareshian-Wachs conjecture which says that the Frobenius characteristics of the cohomology of t…
math.AG2022★ 2 cited
Birational geometry of generalized Hessenberg varieties and the generalized Shareshian-Wachs conjecture
Young-Hoon Kiem, Donggun Lee
We introduce generalized Hessenberg varieties and establish basic facts. We show that the Tymoczko action of the symmetric group on the cohomology of Hessenberg varieties ext…
math.AG2022
Representations on the cohomology of
Jinwon Choi, Young-Hoon Kiem, Donggun Lee
The moduli space of pointed stable curves of genus admits an action of the symmetric group by permuting the marked points. We provide a…