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arXiv · 2201.09596

Deformation Theory of Holomorphic Cartan Geometries, II

Indranil Biswas·Sorin Dumitrescu·Georg Schumacher
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Abstract

In this continuation of \cite{BDS}, we investigate the deformations of holomorphic Cartan geometries where the underlying complex manifold is allowed to move. The space of infinitesimal deformations of a flat holomorphic Cartan geometry is computed. We show that the natural forgetful map, from the infinitesimal deformations of a flat holomorphic Cartan geometry to the infinitesimal deformations of the underlying flat principal bundle on the topological manifold, is an isomorphism.

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Indranil Biswas, Sorin Dumitrescu, Georg Schumacher. 2022-01-24. Deformation Theory of Holomorphic Cartan Geometries, II. https://arxiv.org/abs/2201.09596

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