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Invariant generalized complex geometry on maximal flag manifolds and their moduli
Journal of Geometry and Physics ( IF 1.6 ) Pub Date : 2021-01-07 , DOI: 10.1016/j.geomphys.2021.104108 Elizabeth Gasparim , Fabricio Valencia , Carlos Varea
中文翻译:
最大旗流形上的不变广义复几何及其模量
更新日期:2021-01-22
Journal of Geometry and Physics ( IF 1.6 ) Pub Date : 2021-01-07 , DOI: 10.1016/j.geomphys.2021.104108 Elizabeth Gasparim , Fabricio Valencia , Carlos Varea
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.
中文翻译:
最大旗流形上的不变广义复几何及其模量
我们描述了下最大旗流形上不变广义复结构的模空间和不变广义Kähler结构的模空间 -转换。我们给出了使用纯旋子的广义复杂结构模空间的另一种描述,并描述了由Weyl基团的作用诱导的这些模空间的细胞分解。