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 Cet article a éte moissonné depuis la source Heldermann Verlag

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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}},
     journal = {Journal of Lie theory},
     pages = {173--184},
     year = {2001},
     volume = {11},
     number = {1},
     url = {http://geodesic.mathdoc.fr/item/JLT_2001_11_1_JLT_2001_11_1_a9/}
}
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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/