Holomorphic Curves and Global Questions in Contact Geometry

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

• 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.

“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)