The authors construct Heegaard Floer theory for 3-manifolds with connected boundary. The theory associates to an oriented, parametrized two-manifold a different

Presents an exposition of Kirby calculus, or handle body theory on 4-manifolds. This book includes such topics as branched coverings and the geography of comple

This book is about an investigation of recent developments in the field of sympletic and contact structures on four- and three-dimensional manifolds from a topo

This text on contact topology is a comprehensive introduction to the subject, including recent striking applications in geometric and differential topology: Eli

Mathematical gauge theory studies connections on principal bundles, or, more precisely, the solution spaces of certain partial differential equations for such c