High-dimensional Knot Theory
by Andrew Ranicki
Publisher: Springer 1998
Number of pages: 693
This book is devoted entirely to high-dimensional knot theory. It actually has two aims: (1) to serve as an introduction to high-dimensional knot theory, using surgery theory to provide a systematic exposition, (2) to serve as an introduction to algebraic surgery theory, using high-dimensional knots as the geometric motivation.
Home page url
Download or read it online for free here:
by William P Thurston - Mathematical Sciences Research Institute
The text describes the connection between geometry and lowdimensional topology, it is useful to graduate students and mathematicians working in related fields, particularly 3-manifolds and Kleinian groups. Much of the material or technique is new.
by F.T. Farrell - Springer
This book is an introduction to the topological rigidity theorem for compact non-positively curved Riemannian manifolds. It contains a quick informal account of the background material from surgery theory and controlled topology prerequesite.
by Danny Calegari - Oxford University Press
The book gives an exposition of the 'pseudo-Anosov' theory of foliations of 3-manifolds. This theory generalizes Thurston's theory of surface automorphisms, and reveals an intimate connection between dynamics, geometry and topology in 3 dimensions.
by Andrew Ranicki, Norman Levitt, Frank Quinn - Springer
The book present original research on a wide range of topics in modern topology: the algebraic K-theory of spaces, the algebraic obstructions to surgery and finiteness, geometric and chain complexes, characteristic classes, and transformation groups.