Algebraic L-theory and Topological Manifolds
by A. A. Ranicki
Publisher: Cambridge University Press 2011
ISBN/ASIN: 0521055210
Number of pages: 365
Description:
Assuming no previous acquaintance with surgery theory and justifying all the algebraic concepts used by their relevance to topology, Dr Ranicki explains the applications of quadratic forms to the classification of topological manifolds, in a unified algebraic framework.
Download or read it online for free here:
Download link
(1.3MB, PDF)
Similar books
![Book cover: E 'Infinite' Ring Spaces and E 'Infinite' Ring Spectra](images/2916.jpg)
by J. P. May - Springer
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.
(12156 views)
![Book cover: High-dimensional Knot Theory](images/2189.jpg)
by Andrew Ranicki - Springer
This book is an introduction to high-dimensional knot theory. It uses surgery theory to provide a systematic exposition, and it serves as an introduction to algebraic surgery theory, using high-dimensional knots as the geometric motivation.
(12736 views)
![Book cover: Four-manifolds, Geometries and Knots](images/5484.jpg)
by Jonathan Hillman - arXiv
The goal of the book is to characterize algebraically the closed 4-manifolds that fibre nontrivially or admit geometries in the sense of Thurston, or which are obtained by surgery on 2-knots, and to provide a reference for the topology of such knots.
(11982 views)
![Book cover: Lower K- and L-theory](images/6966.jpg)
by Andrew Ranicki - Cambridge University Press
This is the first treatment of the applications of the lower K- and L-groups to the topology of manifolds such as Euclidean spaces, via Whitehead torsion and the Wall finiteness and surgery obstructions. Only elementary constructions are used.
(10028 views)