03693nam 2200553 450 991082259490332120220822070126.00-8218-8183-30-8218-4839-9(CKB)3240000000070028(EBL)3113401(SSID)ssj0000629244(PQKBManifestationID)11369983(PQKBTitleCode)TC0000629244(PQKBWorkID)10718148(PQKB)10580748(MiAaPQ)EBC3113401(RPAM)15828290(PPN)197108326(EXLCZ)99324000000007002820090722h20092009 uy| 0engur|n|---|||||txtccrAlpine perspectives on algebraic topology Third Arolla Conference on Algebraic Topology, August 18-24, 2008, Arolla, Switzerland /Christian Ausoni, Kathryn Hess, Jérôme Scherer, editorsProvidence, Rhode Island :American Mathematical Society,[2009]©20091 online resource (274 p.)Contemporary mathematics,5040271-4132Description based upon print version of record.Includes bibliographical references.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.Contemporary mathematics (American Mathematical Society).5040271-4132Algebraic topologyCongressesAlgebraic topology514/.2Ausoni Christian1968-Hess Kathryn1967-Scherer Jérôme1969-Arolla Conference on Algebraic TopologyMiAaPQMiAaPQMiAaPQBOOK9910822594903321Alpine perspectives on algebraic topology778540UNINA