LEADER 03693nam 2200553 450 001 9910822594903321 005 20220822070126.0 010 $a0-8218-8183-3 010 $a0-8218-4839-9 035 $a(CKB)3240000000070028 035 $a(EBL)3113401 035 $a(SSID)ssj0000629244 035 $a(PQKBManifestationID)11369983 035 $a(PQKBTitleCode)TC0000629244 035 $a(PQKBWorkID)10718148 035 $a(PQKB)10580748 035 $a(MiAaPQ)EBC3113401 035 $a(RPAM)15828290 035 $a(PPN)197108326 035 $a(EXLCZ)993240000000070028 100 $a20090722h20092009 uy| 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aAlpine perspectives on algebraic topology $eThird Arolla Conference on Algebraic Topology, August 18-24, 2008, Arolla, Switzerland /$fChristian Ausoni, Kathryn Hess, Je?ro?me Scherer, editors 210 1$aProvidence, Rhode Island :$cAmerican Mathematical Society,$d[2009] 210 4$dİ2009 215 $a1 online resource (274 p.) 225 1 $aContemporary mathematics,$v504$x0271-4132 300 $aDescription based upon print version of record. 320 $aIncludes bibliographical references. 327 $aContents -- Preface -- List of Conference Talks -- List of Participants -- L-complete Hopf algebroids and their comodules -- The lattice path operad and Hochschild cochains -- Open-closed field theories, string topology, and Hochschild homology -- Introduction -- 1. Open-closed Topological Field Theories -- 2. The string topology category and its Hochschild homology -- 3. Relations with the Fukaya category of the cotangent bundle -- References -- Cellular covers of divisible abelian groups -- Some geometric properties of the Witten genus -- Localization and cellularization of principal fibrations -- Operadic cobar constructions, cylinder objects and homotopy morphisms of algebras over operads -- Introduction -- The homotopy of operads and of algebras over operads -- 0. The background of dg-modules -- 1. Operads in dg-modules -- 2. The category of algebras associated to an operad -- Applications of the operadic cobar construction -- 3. The operadic cobar construction -- 4. The cobar construction and cofibrant models of algebras over operads -- 5. Cylinder objects and homotopy morphisms -- Bibliography -- Involutions on the rational K-theory of group rings of finite groups -- A quick trip through localization -- 1. Geometric localization -- 2. Geometric localization exists -- 3. Localization of abelian groups -- 4. Classical localization of abelian groups, inverting a set of primes -- 5. Classical localization of spaces -- 6. Limits and derived functors -- 7. Hom and Ext -- 8. p??completion of abelian groups -- 9. p??completion of topological spaces -- 10. Miller's theorem and the Zabrodsky Lemma -- 11. An exotic localization theorem and Serre's theorem -- 12. Applications of exotic localization -- 13. Serre's conjecture -- References -- Divided power structures and chain complexes. 410 0$aContemporary mathematics (American Mathematical Society).$v504$x0271-4132 606 $aAlgebraic topology$vCongresses 615 0$aAlgebraic topology 676 $a514/.2 702 $aAusoni$b Christian$f1968- 702 $aHess$b Kathryn$f1967- 702 $aScherer$b Je?ro?me$f1969- 712 12$aArolla Conference on Algebraic Topology 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910822594903321 996 $aAlpine perspectives on algebraic topology$9778540 997 $aUNINA