**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

**Lectures on Etale Cohomology**

by

**J. S. Milne**

These are the notes for a course taught at the University of Michigan in 1989 and 1998. The emphasis is on heuristic arguments rather than formal proofs and on varieties rather than schemes. The notes also discuss the proof of the Weil conjectures.

(

**6434**views)

**The Adams-Novikov Spectral Sequence and the Homotopy Groups of Spheres**

by

**Paul Goerss**-

**Northwestern University**

Contents: The Adams spectral sequence; Classical calculations; The Adams-Novikov Spectral Sequence; Complex oriented homology theories; The height filtration; The chromatic decomposition; Change of rings; The Morava stabilizer group.

(

**8921**views)

**Introduction to Algebraic Topology and Algebraic Geometry**

by

**U. Bruzzo**

Introduction to algebraic geometry for students with an education in theoretical physics, to help them to master the basic algebraic geometric tools necessary for algebraically integrable systems and the geometry of quantum field and string theory.

(

**7663**views)

**An Introduction to Algebraic Surgery**

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.

(

**7714**views)