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Record Nr. |
UNINA9910480023103321 |
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Titolo |
Alpine perspectives on algebraic topology : Third Arolla Conference on Algebraic Topology, August 18-24, 2008, Arolla, Switzerland / / Christian Ausoni, Kathryn Hess, Jérôme Scherer, editors |
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Pubbl/distr/stampa |
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Providence, Rhode Island : , : American Mathematical Society, , [2009] |
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©2009 |
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ISBN |
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0-8218-8183-3 |
0-8218-4839-9 |
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Descrizione fisica |
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1 online resource (274 p.) |
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Collana |
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Contemporary mathematics ; ; volume 504 |
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Disciplina |
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Soggetti |
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Algebraic topology |
Electronic books. |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Description based upon print version of record. |
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Nota di bibliografia |
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Includes bibliographical references. |
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Nota di contenuto |
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""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 |
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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"" |
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