Explicit Formulae for Cocycles of Holomorphic Vector Fields with values in lambda-Densities
Mathematical Physics
2011-08-31 v2 Complex Variables
math.MP
Abstract
We give explicit formulae for the generators of H^2(Hol(\Sigma_r,{\cal F}_{\lambda}(\Sigma_r)) 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 \Sigma_r.
Cite
@article{arxiv.math-ph/0003035,
title = {Explicit Formulae for Cocycles of Holomorphic Vector Fields with values in lambda-Densities},
author = {Friedrich Wagemann},
journal= {arXiv preprint arXiv:math-ph/0003035},
year = {2011}
}
Comments
10 pages, submitted in J. Lie Theory, replaced version contains minor changes