Toric topology of the Grassmannian of planes in ${\mathbb{C}}^5$ and the del Pezzo surface of degree $5$

Abstract

We determine the integral homology of the orbit space of a maximal compact torus action on the Grassmannian Gr(2,5). Our approach uses the well-known Geometric Invariant Theory of the maximal algebraic torus action on this Grassmannian.

12 pages. Version 3: minor changes/corrections, references updated

References in corpus (2)

• Topology of complexity one quotients
• Orbit spaces of torus actions on Hessenberg varieties