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
A Primer on Mapping Class Groupsby Benson Farb, Dan Margalit - Princeton University Press
Our goal in this book is to explain as many important theorems, examples, and techniques as possible, as quickly and directly as possible, while at the same time giving (nearly) full details and keeping the text (nearly) selfcontained.
(10904 views)
The Hauptvermutung Book: A Collection of Papers on the Topology of Manifoldsby A.A. Ranicki, et al, - Springer
The Hauptvermutung is the conjecture that any two triangulations of a polyhedron are combinatorially equivalent. This conjecture was formulated at the turn of the century, and until its resolution was a central problem of topology.
(9533 views)
Foliations and the Geometry of 3-manifoldsby 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.
(12137 views)
The Geometry and Topology of Three-Manifoldsby 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.
(18116 views)