Geodesic
Explicit Formulae for Cocycles of Holomorphic Vector Fields with Values in &l; Densities
Journal of Lie theory, Tome 11 (2001) no. 1, pp. 173-184.

Voir la notice de l'article provenant de la source Heldermann Verlag

We give explicit formulae for the generators of H2( Hol (Σr),  Fλ (Σr)) in terms of affine and projective connections, Σr being a compact Riemann surface punctured in r points. This is done using the cocycles which have been evidenced by V. Ovsienko and C. Roger ["Generalizations of Virasoro group and Virasoro algebra through extensions by modules of tensor-densities on S1, Indag. Math., N.S. 9 (1998) 277--288] and globalizing them by their transformation property. 
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     author = {F. Wagemann },
     title = {Explicit {Formulae} for {Cocycles} of {Holomorphic} {Vector} {Fields} with {Values} in &l; {Densities}},
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F. Wagemann . Explicit Formulae for Cocycles of Holomorphic Vector Fields with Values in &l; Densities. Journal of Lie theory, Tome 11 (2001) no. 1, pp. 173-184. http://geodesic.mathdoc.fr/item/JLT_2001_11_1_JLT_2001_11_1_a9/