Noncommutative geometry and compactifications of the moduli space of curves

Simple item page
dc.creatorHamilton, Alastair
dc.date2007-10-25
dc.date.accessioned2026-07-07T08:38:33Z
dc.date.available2026-07-07T08:38:33Z
dc.descriptionIn this paper we show that the homology of a certain natural compactification of the moduli space, introduced by Kontsevich in his study of Witten's conjectures, can be described completely algebraically as the homology of a certain differential graded Lie algebra. This two-parameter family is constructed by using a Lie cobracket on the space of noncommutative 0-forms, a structure which corresponds to pinching simple closed curves on a Riemann surface, to deform the noncommutative symplectic geometry described by Kontsevich in his subsequent papers.
dc.description23 pages, 10 figures
dc.identifierhttps://arxiv.org/abs/0710.4603
dc.identifierhttp://arxiv.org/abs/0710.4603
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/140766
dc.subjectQuantum Algebra
dc.subjectAlgebraic Geometry
dc.subjectAlgebraic Topology
dc.subject14D22, 17B56, 17B62, 17B65, 17B66, 57Q15.
dc.titleNoncommutative geometry and compactifications of the moduli space of curves
dc.typetext

Files

Collections

arXiv