Lie algebras of symplectic derivations and cycles on the moduli spaces
Abstract
Description
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
This is the version published by Geometry & Topology Monographs on 25 February 2008