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
• 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 -- 0. The background of dg-modules -- 1. Operads in dg-modules -- 2. The category of algebras associated to an operad -- Applications of the operadic cobar construction -- 3. The operadic cobar construction -- 4. The cobar construction and cofibrant models of algebras over operads -- 5. 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. p??completion of abelian groups -- 9. p??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.: 9910822594903321
• Lo trovi qui: Univ. Federico II
• Serie: Contemporary mathematics (American Mathematical Society). ; 504 . 0271-4132