2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/119911The first author conjectured certain relations for Morita-Mumford classes and Newton classes in the integral cohomology of mapping class groups (integral Riemann-Roch formulae). In this paper, the conjecture is verified for cyclic subgroups of mapping class groups.11 pagesGeometric TopologyAlgebraic Topology55R40 (Primary) 14H37, 57R20, 57M60 (Secondary)Integral Riemann-Roch formulae for cyclic subgroups of mapping class groupstext