Equivariant Stable Homotopy Theory
by G. Jr. Lewis, J. P. May, M. Steinberger, J. E. McClure
Publisher: Springer 1986
ISBN/ASIN: 3540168206
ISBN-13: 9783540168201
Number of pages: 538
Description:
Our primary purpose in this volume is to establish the foundations of equivariant stable homotopy theory. To this end, we shall construct a stable homotopy category of G-spectra enjoying all of the good properties one might reasonably expect, where G is a compact Lie group. We shall use this category to study equivariant duality, equivariant transfer, the Burnside ring, and related topics in equivariant homology and cohomology theory.
Download or read it online for free here:
Download link
(30MB, PDF)
Similar books
H Ring Spectra and Their Applicationsby R. R. Bruner, J. P. May, J. E. McClure, M. Steinberger - Springer
This volume concerns spectra with enriched multiplicative structure. It is a truism that interesting cohomology theories are represented by ring spectra, the product on the spectrum giving rise to the cup products in the theory.
(9848 views)
Manifold Theoryby Peter Petersen - UCLA
These notes are a supplement to a first year graduate course in manifold theory. These are the topics covered: Manifolds (Smooth Manifolds, Projective Space, Matrix Spaces); Basic Tensor Analysis; Basic Cohomology Theory; Characteristic Classes.
(9292 views)
Topics in topology: The signature theorem and some of its applicationsby Liviu I. Nicolaescu - University of Notre Dame
The author discusses several exciting topological developments which radically changed the way we think about many issues. Topics covered: Poincare duality, Thom isomorphism, Euler, Chern and Pontryagin classes, cobordisms groups, signature formula.
(9704 views)
Topology Lecture Notesby Thomas Ward - UEA
Contents: Topological and Metric Spaces, Homotopy Exquivalence, Fundamental Groups, Covering Spaces and Applications, Classification of Surfaces, Simplicial Complexes and Homology Groups, Homology Calculations, Simplicial Approximation, etc.
(11767 views)