Spherical CR Geometry and Dehn Surgery | Medical Book PDF

Spherical CR Geometry and Dehn Surgery offers an in-depth exploration of the geometric and topological concepts involved in CR geometry and Dehn surgery. This book is a vital resource for mathematicians, researchers, and advanced students interested in geometric analysis, complex geometry, and low-dimensional topology. The book combines theory with practical applications, providing a deep dive into the advanced techniques used in the study of spherical CR geometry and the implementation of Dehn surgery.

Overview of the Book
This book presents a detailed study of spherical CR geometry, emphasizing its connections with Dehn surgery. It outlines the geometric structures of CR manifolds and explores their role in low-dimensional topology. The book also covers the fundamentals of Dehn surgery, a technique used to create new 3-manifolds, offering both theoretical insights and practical applications in modern mathematical research.

Key Features and Topics

Introduction to CR Geometry:
The book starts with an introduction to CR (Cauchy-Riemann) geometry, which studies the complex structure of real manifolds. It explains the fundamental concepts of CR structures, including their origins and applications in geometry and physics. The book also discusses the basic tools used in CR geometry, such as contact structures and CR invariant quantities.

Dehn Surgery Techniques:
A significant portion of the book is dedicated to Dehn surgery, a topological procedure that allows the modification of 3-manifolds. The book details the techniques of Dehn surgery, including how it can be used to construct new manifolds and its applications in low-dimensional topology. It discusses the methods of performi