29 citations · 103 across the 20 of their papers we have counts for
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math.AT2023
Modular law through GKM theory
Tatsuya Horiguchi, Mikiya Masuda, Takashi Sato
The solution of Shareshian-Wachs conjecture by Brosnan-Chow and Guay-Paquet tied the graded chromatic symmetric functions on indifference graphs (or unit interval graphs) and the c…
math.AG2023
The cohomology rings of regular nilpotent Hessenberg varieties
Megumi Harada, Tatsuya Horiguchi
This manuscript is a contributed chapter in the forthcoming CRC Press volume, titled the Handbook of Combinatorial Algebraic Geometry: Subvarieties of the Flag Variety. The book, a…
math.AG2023
Coordinate rings of regular nilpotent Hessenberg varieties in the open opposite Schubert cell
Tatsuya Horiguchi, Tomoaki Shirato
Dale Peterson has discovered a surprising result that the quantum cohomology ring of the flag variety $\mbox{GL}_n(\mathbb{C})/B$ is isomorphic to the coordinate ring of the inters…