29 citations · 103 across the 20 of their papers we have counts for
4 papers · 1 filter
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 equivariant cohomology rings of Peterson varieties in all Lie types
Megumi Harada, Tatsuya Horiguchi, Mikiya Masuda
Let G be a complex semisimple linear algebraic group and let Pet be the associated Peterson variety in the flag variety G/B. The main theorem of this note gives an efficient presen…
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…
The -equivariant cohomology rings of Springer varieties
Tatsuya Horiguchi
The main result of this note gives an explicit presentation of the -equivariant cohomology ring of the Springer variety (in type ) as a quotient of a polynomial r…