A class of codimension-one
foliations has been recently introduced by imposing a natural compatibility condition
with a closed maximally nondegenerate 2-form. In this paper we study for such
foliations the information captured by a Donaldson-type submanifold. In particular
we deduce that their leaf spaces are homeomorphic to leaf spaces of 3-dimensional
taut foliations. We also introduce surgery constructions to show that this class of
foliations is broad enough. Our techniques come mainly from symplectic
geometry.
Centro de Análise Matemática,
Geometria e Sistemas Dinâmicos
Departamento de Matemática
Instituto Superior Técnico
Av. Rovisco Pais
1049-001 Lisbon
Portugal