16 citations · 31 across the 4 of their papers we have counts for
4 papers
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…
The equivariant cohomology rings of regular nilpotent Hessenberg varieties in Lie type A: a research announcement
Hiraku Abe, Megumi Harada, Tatsuya Horiguchi +1
Let be a fixed positive integer and a Hessenberg function. The main result of this manuscript is to give a systematic method for pr…
The torus equivariant cohomology rings of Springer varieties
Hiraku Abe, Tatsuya Horiguchi
The Springer variety of type associated to a nilpotent operator on in Jordan canonical form admits a natural action of the -dimensional torus wh…