Lie algebras of symplectic derivations and cycles on the moduli spaces
arXiv:math/0608673 · doi:10.2140/gtm.2008.13.335
Abstract
We consider the Lie algebra consisting of all derivations on the free associative algebra, generated by the first homology group of a closed oriented surface, which kill the symplectic class. We find the first non-trivial abelianization of this Lie algebra and discuss its relation to unstable cohomology classes of the moduli space of curves via a theorem of Kontsevich.
This is the version published by Geometry & Topology Monographs on 25 February 2008