# Chapter Seven: Transplanting Horotube Functions

## Related Articles

- Chapter Eight: The Local Surgery Formula. // Spherical CR Geometry & Dehn Surgery;2007, Issue 165, p61
Chapter 8 of the book "Spherical CR Geometry and Dehn Surgery," by Richard Evan Schwartz is presented. It describes how the Dehn surgery works for individual nice horotubes. It mentions horotube nice have smooth cylinder boundary and the horotube is stabilized by a 1-parameter parabolic subgroup.

- Chapter Twelve: Machinery for Proving Discreteness. // Spherical CR Geometry & Dehn Surgery;2007, Issue 165, p85
Chapter 12 of the book "Spherical CR Geometry and Dehn Surgery," by Richard Evan Schwartz is presented. It introduces the idea of aligning by the notion of a simple complex. It provides a general method for proving discreteness. It also explains the finite number based on a geometric equivalence...

- Chapter One: Introduction. // Spherical CR Geometry & Dehn Surgery;2007, Issue 165, p3
Chapter 1 of the book "Spherical CR Geometry and Dehn Surgery," by Richard Evan Schwartz is presented. It explores the mathematical theory that includes Dehn filling and Thurston's theorem. Further it explores the horotube surgery theorem, and spherical CR structures. It highlights that...

- Chapter Two: Rank-One Geometry. // Spherical CR Geometry & Dehn Surgery;2007, Issue 165, p12
Chapter 2 of the book "Spherical CR Geometry and Dehn Surgery," by Richard Evan Schwartz is presented. It provides background material on complex hyperbolic geometry. Further it discusses several mathematical model including Klein Model, PoincarÃ© Model, and Upper Half-Space Model. It also...

- Chapter Nine: Horotube Assignments. // Spherical CR Geometry & Dehn Surgery;2007, Issue 165, p66
Chapter 9 of the book "Spherical CR Geometry and Dehn Surgery," by Richard Evan Schwartz is presented. It defines the horotube complex and control its geometry and topology . It deals with collections of horotubes and their functions. It also mentions that smaller horotubes that are used only...

- Chapter Eleven: Extending to the Inside. // Spherical CR Geometry & Dehn Surgery;2007, Issue 165, p78
Chapter 11 of the book "Spherical CR Geometry and Dehn Surgery," by Richard Evan Schwartz is presented. It uses various mathematical theory to prove the Transversality Lemma and the local structure Lemma. It deals with collections of horotubes and their functions and also defines the horotube...

- Chapter Thirteen: Proof of the HST. // Spherical CR Geometry & Dehn Surgery;2007, Issue 165, p91
Chapter 13 of the book "Spherical CR Geometry and Dehn Surgery," by Richard Evan Schwartz is presented. It uses mathematical equation to prove the Horotube Surgery Theorem (HST). It also explains how to deal with elliptic elements of isolated type. Further it examines Horotube Group Structure,...

- Chapter Sixteen: CR Surgery on the Whitehead Link Complement. // Spherical CR Geometry & Dehn Surgery;2007, Issue 165, p121
Chapter 16 of the book "Spherical CR Geometry and Dehn Surgery," by Richard Evan Schwartz is presented. It uses various mathematical tool to prove mathematical theorem. It uses the Convergence Lemma I to prove the Horotube Surgery Theorem (HST). It also fixes a left-invariant Riemannian metric...

- Chapter Three: Topological Generalities. // Spherical CR Geometry & Dehn Surgery;2007, Issue 165, p23
Chapter 3 of the book "Spherical CR Geometry and Dehn Surgery," by Richard Evan Schwartz is presented. It provides background material on discrete groups and topology. It describes a model for the singular space, and foundational material on complex hyperbolic discrete groups. Further it...