16 citations · 16 across the 6 of their papers we have counts for
6 papers
Six-dimensional GKM manifolds with four fixed points
Donghoon Jang, Shintaro Kuroki, Mikiya Masuda +1
In this paper, we study -dimensional GKM manifolds with fixed points. We classify all possible GKM graphs, and for each type of graph we construct a manifold, proving the ex…
Notes on the cohomology of partial Hessenberg varieties
Tatsuya Horiguchi, Mikiya Masuda, Takashi Sato +1
Hessenberg varieties are a family of subvarieties of full flag varieties. This family contains well-known varieties such as Springer fibers, Peterson varieties, and permutohedral v…
Automorphisms of GKM graphs and regular semisimple Hessenberg varieties
Donghoon Jang, Shintarô Kuroki, Mikiya Masuda +2
A regular semisimple Hessenberg variety is a smooth subvariety of the full flag variety associated with a regular semisimple matrix…
Gamma vectors of partitioned permutohedra
Tatsuya Horiguchi, Mikiya Masuda, Takashi Sato +2
We determine that -vectors of partitioned permutohedra, thereby generalizing a result of Foata and Schützenberger. Our result is closely related to a result of Athanasiadis on t…
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…
Hessenberg varieties and hyperplane arrangements
Takuro Abe, Tatsuya Horiguchi, Mikiya Masuda +2
Given a semisimple complex linear algebraic group and a lower ideal in positive roots of , three objects arise: the ideal arrangement , the regular nilpot…