Deformation Theory of Holomorphic Cartan Geometries, II
Differential Geometry
2022-01-25 v1 Complex Variables
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.
Keywords
Cite
@article{arxiv.2201.09596,
title = {Deformation Theory of Holomorphic Cartan Geometries, II},
author = {Indranil Biswas and Sorin Dumitrescu and Georg Schumacher},
journal= {arXiv preprint arXiv:2201.09596},
year = {2022}
}