Generalized holomorphic Cartan geometries

@article{Biswas2019GeneralizedHC,
  title={Generalized holomorphic Cartan geometries},
  author={Indranil Biswas and Sorin Dumitrescu},
  journal={European Journal of Mathematics},
  year={2019},
  pages={1-20}
}
This is largely a survey paper, dealing with Cartan geometries in the complex analytic category. We first remind some standard facts going back to the seminal works of Felix Klein, Élie Cartan and Charles Ehresmann. Then we present the concept of a branched holomorphic Cartan geometry which was introduced by Biswas and Dumitrescu (Int Math Res Not IMRN, 2017. https://doi.org/10.1093/imrn/rny003, arxiv:1706.04407). It generalizes to higher dimension the notion of a branched (flat) complex… 
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