Deformation theory of holomorphic Cartan geometries, II

oleh: Biswas Indranil, Dumitrescu Sorin, Schumacher Georg

Format: Article
Diterbitkan: De Gruyter 2022-02-01

Deskripsi

In this continuation of [4], 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.