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arXiv · 1305.2377

Nonabelian holomorphic Lie algebroid extensions

Ugo Bruzzo·Igor Mencattini·Vladimir Rubtsov·Pietro Tortella
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Abstract

We classify nonabelian extensions of Lie algebroids in the holomorphic category. Moreover we study a spectral sequence associated to any such extension. This spectral sequence generalizes the Hochschild-Serre spectral sequence for Lie algebras to the holomorphic Lie algebroid setting. As an application, we show that the hypercohomology of the Atiyah algebroid of a line bundle has a natural Hodge structure.

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Ugo Bruzzo, Igor Mencattini, Vladimir Rubtsov, Pietro Tortella. 2013-05-10. Nonabelian holomorphic Lie algebroid extensions. https://arxiv.org/abs/1305.2377

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