Alpine perspectives on algebraic topology : Third Arolla Conference on Algebraic Topology, August 18-24, 2008, Arolla, Switzerland / / Christian Ausoni, Kathryn Hess, Jérôme Scherer, editors

• Pubblicazione: Providence, Rhode Island : , : American Mathematical Society, , [2009]; ©2009
• Descrizione fisica: 1 online resource (274 p.)
• Disciplina: 514/.2
• Soggetto topico: Algebraic topology
• Soggetto genere / forma: Electronic books.
• Persona (resp. second.): AusoniChristian <1968->; HessKathryn <1967->; SchererJérôme <1969->
• Note generali: Description based upon print version of record.
• Nota di bibliografia: Includes bibliographical references.
• Nota di contenuto: ""Contents""; ""Preface""; ""List of Conference Talks""; ""List of Participants""; ""L-complete Hopf algebroids and their comodules""; ""The lattice path operad and Hochschild cochains""; ""Open-closed field theories, string topology, and Hochschild homology""; ""Introduction""; ""1. Open-closed Topological Field Theories""; ""2. The string topology category and its Hochschild homology""; ""3. Relations with the Fukaya category of the cotangent bundle""; ""References""; ""Cellular covers of divisible abelian groups""; ""Some geometric properties of the Witten genus"" ; ""Localization and cellularization of principal fibrations""""Operadic cobar constructions, cylinder objects and homotopy morphisms of algebras over operads""; ""Introduction""; ""The homotopy of operads and of algebras over operads""; ""Â0. The background of dg-modules""; ""Â1. Operads in dg-modules""; ""Â2. The category of algebras associated to an operad""; ""Applications of the operadic cobar construction""; ""Â3. The operadic cobar construction""; ""Â4. The cobar construction and cofibrant models of algebras over operads""; ""Â5. Cylinder objects and homotopy morphisms"" ; ""Bibliography""""Involutions on the rational K-theory of group rings of finite groups""; ""A quick trip through localization""; ""1. Geometric localization""; ""2. Geometric localization exists""; ""3. Localization of abelian groups""; ""4. Classical localization of abelian groups, inverting a set of primes""; ""5. Classical localization of spaces""; ""6. Limits and derived functors""; ""7. Hom and Ext""; ""8. pâ??completion of abelian groups""; ""9. pâ??completion of topological spaces""; ""10. Miller's theorem and the Zabrodsky Lemma"" ; ""11. An exotic localization theorem and Serre's theorem""""12. Applications of exotic localization""; ""13. Serre's conjecture""; ""References""; ""Divided power structures and chain complexes""
• Titolo autorizzato: Alpine perspectives on algebraic topology
• ISBN: 0-8218-8183-3; 0-8218-4839-9
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: 9910480023103321
• Lo trovi qui: Univ. Federico II
• Serie: Contemporary mathematics (American Mathematical Society) ; ; v. 504.