An additive basis for the cohomology rings of regular nilpotent Hessenberg varieties
arXiv:1912.11763 · doi:10.1007/s00031-022-09763-3
Abstract
In this paper we construct an additive basis for the cohomology ring of a regular nilpotent Hessenberg variety which is obtained by extending all Poincaré duals of smaller regular nilpotent Hessenberg subvarieties. In particular, all of the Poincaré duals of smaller regular nilpotent Hessenberg subvarieties are linearly independent.
34 pages, 7 figures