Geometry of regular Hessenberg varieties

Hiraku Abe, Naoki Fujita, Haozhi Zeng

Let $\mathfrak{g}$ be a complex semisimple Lie algebra. For a regular element $x$ in $\mathfrak{g}$ and a Hessenberg space $H\subseteq \mathfrak{g}$, we consider a regular Hessenbe…