2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/225850We report on the computation of the integral homology of the mapping class group of genus g surfaces with one boundary curve and m punctures, when 2g + m is smaller than 6. In particular, it includes the genus 2 case with no or one puncture.This is the version published by Geometry & Topology Monographs on 29 April 2008Algebraic TopologyGeometric Topology57S05, 57N05, 57S25text