The cohomology rings of regular semisimple Hessenberg varieties for $h=(h(1),n,\dots ,n)$

Hiraku Abe, Tatsuya Horiguchi, Mikiya Masuda

We investigate the cohomology rings of regular semisimple Hessenberg varieties whose Hessenberg functions are of the form $h=(h(1),n\dots ,n)$ in Lie type $A_{n-1}$. The main result…