Holomorphic Curves and Global Questions in Contact Geometry

Casim Abbas,  Michigan State University, Michigan, USAHelmut Hofer, Institute for Advanced Study, New Jersey, USA

“The book under review is the entry point for studying low-dimensional foliations and the symplectic field theory. … It can be seen as a perfect tool for graduate students and researchers who would like to learn about pseudoholomorphic curves in contact geometry.” (Roman Golovko, zbMATH 1431.53001, 2020)

• An Introduction to Contact Geometry.- Basic Results.- Surfaces in Three Dimensional Contact Manifolds.- Finite Energy Planes and Periodic Orbits.- Properties of Pseudoholomorphic Curves.- Intersection Theory for Pseudoholomorphic Disks.- Local Existence and Global Uniqueness Results.- Bubbling-off in Families of Pseudoholomorphic Disks.- Disk Filling Methods and Applications.