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

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dc.creatorBouarroudj, S.
dc.creatorGargoubi, H.
dc.date2001-01-08
dc.date.accessioned2026-07-07T04:39:33Z
dc.date.available2026-07-07T04:39:33Z
dc.descriptionLet $Σ$ be an open Riemann surface and $Hol (Σ)$ be the Lie algebra of holomorphic vector fields on $Σ.$ We fix a projective structure (i.e. a local $SL_2(C)-$structure) on $Σ.$ We calculate the first group of cohomology of $Hol(Σ)$ with coefficients in the space of linear holomorphic operators acting on tensor densities, vanishing on the Lie algebra $SL_2 (C).$ The result is independant on the choice of the projective structure. We give explicit formulae of 1-cocycles generating this cohomology group.
dc.description8 pages, no figures, Latex2e
dc.identifierhttps://arxiv.org/abs/math/0101057
dc.identifierhttp://arxiv.org/abs/math/0101057
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/60709
dc.subjectComplex Variables
dc.titleProjectively Invariant Cocycles of Holomorphic Vector Fields on an Open Riemann Surface
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