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arXiv · 1912.08853

Invariant generalized complex geometry on maximal flag manifolds and their moduli

Elizabeth Gasparim·Fabricio Valencia·Carlos Varea
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Abstract

We describe moduli spaces of invariant generalized complex structures and moduli spaces of invariant generalized K\"ahler structures on maximal flag manifolds under $B$-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.

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Elizabeth Gasparim, Fabricio Valencia, Carlos Varea. 2019-12-18. Invariant generalized complex geometry on maximal flag manifolds and their moduli. https://doi.org/10.1016/j.geomphys.2021.104108

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