1Institut G. Desargues, Université C. Bernard - Lyon 1, 43, Blv. du 11 Novembre 1918, 69622 Villeurbanne, France 2We give explicit formulae for the generators of H 3( Hol (Σ 4), F 5(Σ 6)) in terms of affine and projective connections, Σ 7being 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 S 8, Indag. Math., N.S. 9 (1998) 277--288] and globalizing them by their transformation property. 9[
Journal of Lie Theory, Tome 11 (2001) no. 1, pp. 173-184
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Friedrich Wagemann. Explicit Formulae for Cocycles of Holomorphic Vector Fields with Values in λ Densities. Journal of Lie Theory, Tome 11 (2001) no. 1, pp. 173-184. http://geodesic.mathdoc.fr/item/JOLT_2001_11_1_a9/
@article{JOLT_2001_11_1_a9,
author = {Friedrich Wagemann},
title = {Explicit {Formulae} for {Cocycles} of {Holomorphic} {Vector} {Fields} with {Values} in \ensuremath{\lambda} {Densities}},
journal = {Journal of Lie Theory},
pages = {173--184},
year = {2001},
volume = {11},
number = {1},
url = {http://geodesic.mathdoc.fr/item/JOLT_2001_11_1_a9/}
}
TY - JOUR
AU - Friedrich Wagemann
TI - Explicit Formulae for Cocycles of Holomorphic Vector Fields with Values in λ Densities
JO - Journal of Lie Theory
PY - 2001
SP - 173
EP - 184
VL - 11
IS - 1
UR - http://geodesic.mathdoc.fr/item/JOLT_2001_11_1_a9/
ID - JOLT_2001_11_1_a9
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%0 Journal Article
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%J Journal of Lie Theory
%D 2001
%P 173-184
%V 11
%N 1
%U http://geodesic.mathdoc.fr/item/JOLT_2001_11_1_a9/
%F JOLT_2001_11_1_a9
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.
