Invariant generalized complex geometry on maximal flag manifolds and their moduli
arXiv:1912.08853 · doi:10.1016/j.geomphys.2021.104108
Abstract
We describe moduli spaces of invariant generalized complex structures and moduli spaces of invariant generalized Kähler structures on maximal flag manifolds under -transformations. We give an alternative description of the moduli space of generalized complex structures using pure spinors, and describe a cell decomposition of these moduli spaces induced by the action of the Weyl group.
29 pages. The title has been changed. Final version to appear in Journal of Geometry and Physics