Structured Ring Spectra

Andrew Baker, Birgit Richter - Collection London Mathematical Society Student Texts

236 pages, parution le 03/11/2004

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Résumé

Within algebraic topology, the prominent role of multiplicative cohomology theories has led to a great deal of foundational research on ring spectra and in the 1990's this gave rise to significant new approaches to constructing categories of spectra and ring-like objects in them. This book contains some important new contributions to the theory of structured ring spectra as well as survey papers describing these and relationships between them.

One important aspect is the study of strict multiplicative structures on spectra and the development of obstruction theories to imposing strictly associative and commutative ring structures on spectra. A different topic is the transfer of classical algebraic methods and ideas, such as Morita theory, to the world of stable homotopy.

L'auteur - Andrew Baker

Andrew Baker is Lecturer at the School of Politics and International Studies at the Queen's University of Belfast. He is the-co-editor of Governing Financial Globalisation (Routledge, 2005) and has published in journals such as Review of International Political Economy and Global Governance.

Sommaire

Preface
The development of structured ring spectra
Compromises forced by Lewis's theorem
Permutative categories as a model of connective stable homotopy
Morita theory in abelian, derived and stable model categories
Higher coherences in equivariant K-theory
(Co-)Homology theories for commutative (S'-)algebras
Classical obstructions and S-algebras
Moduli spaces of commutative ring spectra
Cohomology theories for highly structured ring spectra

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Caractéristiques techniques

	PAPIER
Éditeur(s)	Cambridge University Press
Auteur(s)	Andrew Baker, Birgit Richter
Collection	London Mathematical Society Student Texts
Parution	03/11/2004
Nb. de pages	236
Format	15 x 22,5
Couverture	Broché
Poids	340g
Intérieur	Noir et Blanc
EAN13	9780521603058
ISBN13	978-0-521-60305-8