Resumen de Derived moduli of sections and push-forwards

David Kern, Etienne Mann, Cristina Manolache, Renata Picciotto

• We use the derived moduli of sections RSecM(Z/C) to give derived enhancements of various moduli spaces, including stable maps and stable quasi-maps, which are compatible with their usual perfect obstruction theories. As an application, we prove that G-theoretic stable map and quasi-map invariants of projective spaces are equal.