Structured Ring Spectra

by Andrew Baker, Birgit Richter

Overview

The prominent role of multiplicative cohomology theories has led to a great deal of foundational research recently on ring spectra within the field of algebraic topology. This has given rise to significant new approaches to constructing categories of spectra and ring-like objects in them. These essays contain important new contributions to the theory of structured ring spectra as well as survey papers describing relationships between them.

Product Details

ISBN-13:	9780521603058
Publisher:	Cambridge University Press
Publication date:	11/18/2004
Series:	London Mathematical Society Lecture Note Series , #315
Pages:	240
Product dimensions:	5.98(w) x 8.98(h) x 0.59(d)

About the Author

Andew Baker is Reader in Mathematics at University of Glasgow. He is the author of the textbook Matrix Groups: An Introduction to Lie Group Theory, as well as numerous publications on algebraic topology, algebra and number theory in a wide range of journals and conference proceedings. He is also an editor for Glasgow Mathematical Journal and Homology and Homotopy and Applications.

Birgit Richter is wissenschaftlich Assistentin at Universität Bonn in Germany. He has published articles in several mathematical journals such as Mathematische Annalen,Topology, Annales de l'Institut Fourier, Journal of Pure and Applied Algebra, K-theory and Mathematical Proceedings of the Cambridge Philosophical Society.

Table of Contents

1. The development of structured ring spectra Anthony Elmendorf; 2. Compromises forced by Lewis's Theorem Anthony Elmendorf; 3. Permutative categories as a model of connective stable homotopy Anthony Elmendorf and Michael Mandell; 4. Morita Theory in Abelian, derived and stable model categories Stefan Schwede; 5. Higher coherences in equivariant K-theory Michael Joachim; 6. Co-homology theories for commutative S-algebras Maria Basterra and Birgit Richter; 7. Classical obstructions and S-algebras Alan Robinson; 8. Moduli spaces of commutative ring spectra Paul Goerss and Michael Hopkins; 9. Cohomology theories for highly structured ring spectra Andrey Lazarev.