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

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

We investigate the cohomology rings of regular semisimple Hessenberg varieties whose Hessenberg functions are of the form h = (h(1), n . . ., n) in Lie type A n-1 .The main result of this paper gives an explicit presentation of the cohomology rings in terms of generators and their …