Exotic Homology Manifolds
by Frank Quinn, Andrew Ranicki
Number of pages: 158
Homology manifolds were developed in the first half of the 20th century to give a precise setting for Poincare's ideas on duality. Exotic homology manifolds are investigated using algebraic and geometric methods. This volume is the proceedings of the Mini-Workshop Exotic Homology manifolds held at Oberwolfach 2003.
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by Andrew Ranicki - arXiv
Browder-Novikov-Sullivan-Wall surgery theory investigates the homotopy types of manifolds, using a combination of algebra and topology. It is the aim of these notes to provide an introduction to the more algebraic aspects of the theory.
by Louis H. Kauffman - arXiv
This paper is a survey of knot theory and invariants of knots and links from the point of view of categories of diagrams. The topics range from foundations of knot theory to virtual knot theory and topological quantum field theory.
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The theme of this book is infinite loop space theory and its multiplicative elaboration. The main goal is a complete analysis of the relationship between the classifying spaces of geometric topology and the infinite loop spaces of algebraic K-theory.
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