2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/140766In 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.23 pages, 10 figuresQuantum AlgebraAlgebraic GeometryAlgebraic Topology14D22, 17B56, 17B62, 17B65, 17B66, 57Q15.text