Explicit Formulae for Cocycles of Holomorphic Vector Fields with values in lambda-Densities
Friedrich Wagemann
Abstract
We give explicit formulae for the generators of H2(Hol(Σr, Fλ(Σr)) in terms of affine and projective connections. This is done using the cocycles of V. Ovsienko and C. Roger for the case of the circle and globalizing them to an open Riemann surface Σr.
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