Tautological classes on the moduli spaces of stable maps to projective spaces

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/100171We present a localization proof of the fact that the cohomology of the moduli spaces of genus zero stable maps to projective spaces is entirely tautological. In addition, we obtain a description of a Bialynicki-Birula stratification in the context of Gathmann's moduli spaces of maps with prescribed contact order to a fixed hyperplane.Algebraic GeometryTautological classes on the moduli spaces of stable maps to projective spacestext