Algebraic and Geometric Topology
by Andrew Ranicki, Norman Levitt, Frank Quinn
Publisher: Springer 1985
ISBN/ASIN: 3540152350
ISBN-13: 9783540152354
Number of pages: 436
Description:
The articles in this volume present original research on a wide range of topics in modern topology. They include important new material on the algebraic K-theory of spaces, the algebraic obstructions to surgery and finiteness, geometric and chain complexes, characteristic classes, and transformation groups.
Download or read it online for free here:
Download link
(DJVU, PDF)
Similar books
Residues and Dualityby Robin Hartshorne - Springer
The main purpose of these notes is to prove a duality theorem for cohomology of quasi-coherent sheaves, with respect to a proper morphism of locally noetherian preschemes. Various such theorems are already known. Typical is the duality theorem ...
(3711 views)
E 'Infinite' Ring Spaces and E 'Infinite' Ring Spectraby 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.
(10531 views)
Geometry of 2D Topological Field Theoriesby Boris Dubrovin - arXiv
These lecture notes are devoted to the theory of equations of associativity describing geometry of moduli spaces of 2D topological field theories. Topics: WDVV equations and Frobenius manifolds; Polynomial solutions of WDVV; Symmetries of WDVV; etc.
(11341 views)
The Homology of Iterated Loop Spacesby F. R. Cohen, T. J. Lada, P. J. May - Springer
A thorough treatment of homology operations and of their application to the calculation of the homologies of various spaces. The book studies an up to homotopy notion of an algebra over a monad and its role in the theory of iterated loop spaces.
(8693 views)