Invariant generalized complex geometry on maximal flag manifolds and their moduli
Differential Geometry
2023-04-20 v3 Symplectic Geometry
Abstract
We describe moduli spaces of invariant generalized complex structures and moduli spaces of invariant generalized K\"ahler 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.
Cite
@article{arxiv.1912.08853,
title = {Invariant generalized complex geometry on maximal flag manifolds and their moduli},
author = {Elizabeth Gasparim and Fabricio Valencia and Carlos Varea},
journal= {arXiv preprint arXiv:1912.08853},
year = {2023}
}
Comments
29 pages. The title has been changed. Final version to appear in Journal of Geometry and Physics