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.
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by David Bachman - arXiv
This is a textbook on differential forms. The primary target audience is sophomore level undergraduates enrolled in a course in vector calculus. Later chapters will be of interest to advanced undergraduate and beginning graduate students.
by Dennis Sullivan - Springer
In 1970, Sullivan circulated this set of notes introducing localization and completion of topological spaces to homotopy theory, and other important concepts. The notes remain worth reading for the fresh picture they provide for geometric topology.
by Frank Quinn, Andrew Ranicki
Homology manifolds were developed in the 20th century to give a precise setting for Poincare's ideas on duality. They are investigated using algebraic and geometric methods. This volume is the proceedings of a workshop held in 2003.
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.