Lagrangian spheres in Del Pezzo surfaces

Abstract

Lagrangian spheres in the symplectic Del Pezzo surfaces arising as blow-ups of the complex projective plane in 4 or fewer points are classified up to Lagrangian isotopy. Unlike the case of the 5-point blow-up, there is no Lagrangian knotting.Comment: 48 pages, 2 figures; referee's corrections and suggestions incorporated