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arXiv:math/0608673 [math.GT]AbstractReferencesReviewsResources

Lie algebras of symplectic derivations and cycles on the moduli spaces

Shigeyuki Morita

Published 2006-08-28, updated 2009-04-06Version 2

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.

Comments: This is the version published by Geometry & Topology Monographs on 25 February 2008
Journal: Geom. Topol. Monogr. 13 (2008) 335-354
Categories: math.GT, math.AG
Subjects: 17B40, 17B56, 32G15
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