Lie algebras of symplectic derivations and cycles on the moduli spaces
| dc.creator | Morita, Shigeyuki | |
| dc.date | 2006-08-28 | |
| dc.date | 2009-04-06 | |
| dc.date.accessioned | 2026-07-07T13:00:25Z | |
| dc.date.available | 2026-07-07T13:00:25Z | |
| dc.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. | |
| dc.description | This is the version published by Geometry & Topology Monographs on 25 February 2008 | |
| dc.identifier | https://arxiv.org/abs/math/0608673 | |
| dc.identifier | http://arxiv.org/abs/math/0608673 | |
| dc.identifier | Geom. Topol. Monogr. 13 (2008) 335-354 | |
| dc.identifier | doi:10.2140/gtm.2008.13.335 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/225836 | |
| dc.subject | Geometric Topology | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 17B40, 17B56, 32G15 | |
| dc.title | Lie algebras of symplectic derivations and cycles on the moduli spaces | |
| dc.type | text |