Resumen de Infinitesimal Actions of R2 Around Isolated Fixed Points in the Plane

Adolfo Guillot

• We study infinitesimal smooth actions of R2 (pairs of commuting vector fields) in the neighborhood of a fixed point on a surface, with special emphasis on the case where the action is tangent to the identity and the fixed point surrounded by an orbit of dimension two. We give conditions guaranteeing the topological and smooth equivalence of such actions.