Structured Ring Spectra
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.
- Provides overview papers on up to date topics in structured ring spectra
- Describes recently developed obstruction theories for multiplicative structures on ring spectra
- First book to collect recent results in the field and to compare the different approaches
Product details
March 2011Adobe eBook Reader
9780511893957
0 pages
0kg
This ISBN is for an eBook version which is distributed on our behalf by a third party.
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.