A Crossed Module giving the Godbillon-Vey Cocycle
Mathematical Physics
2011-08-31 v2 math.MP
Quantum Algebra
Abstract
We find crossed modules, i.e. certain 4 term exact sequences, associated to the Godbillon-Vey class for W_1, Vect(S^1), Vect_{1,0}(\Sigma) and Hol(\Sigma_r), i.e. for the Lie algebras of formal vector fields in 1 variable, vector fields on the circle, differentiable vector fields of holomorphic type on a Riemann surface and holomorphic vector fields on an open Riemann surface.
Cite
@article{arxiv.math-ph/0003034,
title = {A Crossed Module giving the Godbillon-Vey Cocycle},
author = {Friedrich Wagemann},
journal= {arXiv preprint arXiv:math-ph/0003034},
year = {2011}
}
Comments
6 pages, submitted to Lett. Mth. Phys, we added reference [6]