Projectively Invariant Cocycles of Holomorphic Vector Fields on an Open Riemann Surface

S. Bouarroudj, H. Gargoubi

Let $\Sigma$ be an open Riemann surface and $Hol(\Sigma )$ be the Lie algebra of holomorphic vector fields on $\Sigma .$ We fix a projective structure (i.e. a local $S{L}_2(C)-$structure) on $\Sigma .$ We…