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Alpine perspectives on algebraic topology : Third Arolla Conference on Algebraic Topology, August 18-24, 2008, Arolla, Switzerland / / Christian Ausoni, Kathryn Hess, Jérôme Scherer, editors
| Alpine perspectives on algebraic topology : Third Arolla Conference on Algebraic Topology, August 18-24, 2008, Arolla, Switzerland / / Christian Ausoni, Kathryn Hess, Jérôme Scherer, editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2009] |
| Descrizione fisica | 1 online resource (274 p.) |
| Disciplina | 514/.2 |
| Collana | Contemporary mathematics |
| Soggetto topico | Algebraic topology |
| Soggetto genere / forma | Electronic books. |
| ISBN |
0-8218-8183-3
0-8218-4839-9 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| 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"" |
| Record Nr. | UNINA-9910480023103321 |
| Providence, Rhode Island : , : American Mathematical Society, , [2009] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Alpine perspectives on algebraic topology : Third Arolla Conference on Algebraic Topology, August 18-24, 2008, Arolla, Switzerland / / Christian Ausoni, Kathryn Hess, Jérôme Scherer, editors
| Alpine perspectives on algebraic topology : Third Arolla Conference on Algebraic Topology, August 18-24, 2008, Arolla, Switzerland / / Christian Ausoni, Kathryn Hess, Jérôme Scherer, editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2009] |
| Descrizione fisica | 1 online resource (274 p.) |
| Disciplina | 514/.2 |
| Collana | Contemporary mathematics |
| Soggetto topico | Algebraic topology |
| ISBN |
0-8218-8183-3
0-8218-4839-9 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| 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. |
| Record Nr. | UNINA-9910788798403321 |
| Providence, Rhode Island : , : American Mathematical Society, , [2009] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Alpine perspectives on algebraic topology : Third Arolla Conference on Algebraic Topology, August 18-24, 2008, Arolla, Switzerland / / Christian Ausoni, Kathryn Hess, Jérôme Scherer, editors
| Alpine perspectives on algebraic topology : Third Arolla Conference on Algebraic Topology, August 18-24, 2008, Arolla, Switzerland / / Christian Ausoni, Kathryn Hess, Jérôme Scherer, editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2009] |
| Descrizione fisica | 1 online resource (274 p.) |
| Disciplina | 514/.2 |
| Collana | Contemporary mathematics |
| Soggetto topico | Algebraic topology |
| ISBN |
0-8218-8183-3
0-8218-4839-9 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| 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. |
| Record Nr. | UNINA-9910822594903321 |
| Providence, Rhode Island : , : American Mathematical Society, , [2009] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Homotopy theory of diagrams / / Wojciech Chachólski, Jérôme Scherer
| Homotopy theory of diagrams / / Wojciech Chachólski, Jérôme Scherer |
| Autore | Chachólski Wojciech <1968-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2002] |
| Descrizione fisica | 1 online resource (106 p.) |
| Disciplina |
510 s
514/.24 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Homotopy theory
Categories (Mathematics) |
| Soggetto genere / forma | Electronic books. |
| ISBN | 1-4704-0329-3 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Introduction""; ""Chapter I. Model approximations and bounded diagrams""; ""1. Notation""; ""2. Model categories""; ""3. Left derived functors""; ""4. Left derived functors of colimits and left Kan extensions""; ""5. Model approximations""; ""6. Spaces and small categories""; ""7. The pull-back process and local properties""; ""8. Colimits of diagrams indexed by spaces""; ""9. Left Kan extensions""; ""10. Bounded diagrams""; ""Chapter II. Homotopy theory of diagrams""; ""11. Statements of the main results""; ""12. Cofibrations""; ""13. Fun[sup(b)](K,M) as a model category""
""28. Diagrams indexed by cones II""""30. Cofinality""; ""31. Homotopy limits""; ""Appendix A. Left Kan extensions preserve boundedness""; ""32. Degeneracy Map""; ""33. Bounded diagrams and left Kan extensions""; ""Appendix B. Categorical Preliminaries""; ""34. Categories over and under an object""; ""35. Relative version of categories over and under an object""; ""36. Pull-back process and Kan extensions""; ""37. Cofinality for colimits""; ""38. Grothendieck construction""; ""39. Grothendieck construction & the pull-back process""; ""40. Functors indexed by Grothendieck constructions"" ""Bibliography""""Index""; ""A""; ""B""; ""C""; ""D""; ""F""; ""G""; ""H""; ""I""; ""K""; ""L""; ""M""; ""N""; ""O""; ""P""; ""Q""; ""R""; ""S""; ""T""; ""U""; ""W"" |
| Record Nr. | UNINA-9910481052203321 |
Chachólski Wojciech <1968->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , [2002] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Homotopy theory of diagrams / / Wojciech Chachólski, Jérôme Scherer
| Homotopy theory of diagrams / / Wojciech Chachólski, Jérôme Scherer |
| Autore | Chachólski Wojciech <1968-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2002] |
| Descrizione fisica | 1 online resource (106 p.) |
| Disciplina |
510 s
514/.24 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Homotopy theory
Categories (Mathematics) |
| ISBN | 1-4704-0329-3 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Introduction""; ""Chapter I. Model approximations and bounded diagrams""; ""1. Notation""; ""2. Model categories""; ""3. Left derived functors""; ""4. Left derived functors of colimits and left Kan extensions""; ""5. Model approximations""; ""6. Spaces and small categories""; ""7. The pull-back process and local properties""; ""8. Colimits of diagrams indexed by spaces""; ""9. Left Kan extensions""; ""10. Bounded diagrams""; ""Chapter II. Homotopy theory of diagrams""; ""11. Statements of the main results""; ""12. Cofibrations""; ""13. Fun[sup(b)](K,M) as a model category""
""28. Diagrams indexed by cones II""""30. Cofinality""; ""31. Homotopy limits""; ""Appendix A. Left Kan extensions preserve boundedness""; ""32. Degeneracy Map""; ""33. Bounded diagrams and left Kan extensions""; ""Appendix B. Categorical Preliminaries""; ""34. Categories over and under an object""; ""35. Relative version of categories over and under an object""; ""36. Pull-back process and Kan extensions""; ""37. Cofinality for colimits""; ""38. Grothendieck construction""; ""39. Grothendieck construction & the pull-back process""; ""40. Functors indexed by Grothendieck constructions"" ""Bibliography""""Index""; ""A""; ""B""; ""C""; ""D""; ""F""; ""G""; ""H""; ""I""; ""K""; ""L""; ""M""; ""N""; ""O""; ""P""; ""Q""; ""R""; ""S""; ""T""; ""U""; ""W"" |
| Record Nr. | UNINA-9910788845503321 |
|
Chachólski Wojciech <1968->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , [2002] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Homotopy theory of diagrams / / Wojciech Chachólski, Jérôme Scherer
| Homotopy theory of diagrams / / Wojciech Chachólski, Jérôme Scherer |
| Autore | Chachólski Wojciech <1968-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2002] |
| Descrizione fisica | 1 online resource (106 p.) |
| Disciplina |
510 s
514/.24 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Homotopy theory
Categories (Mathematics) |
| ISBN | 1-4704-0329-3 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Introduction""; ""Chapter I. Model approximations and bounded diagrams""; ""1. Notation""; ""2. Model categories""; ""3. Left derived functors""; ""4. Left derived functors of colimits and left Kan extensions""; ""5. Model approximations""; ""6. Spaces and small categories""; ""7. The pull-back process and local properties""; ""8. Colimits of diagrams indexed by spaces""; ""9. Left Kan extensions""; ""10. Bounded diagrams""; ""Chapter II. Homotopy theory of diagrams""; ""11. Statements of the main results""; ""12. Cofibrations""; ""13. Fun[sup(b)](K,M) as a model category""
""28. Diagrams indexed by cones II""""30. Cofinality""; ""31. Homotopy limits""; ""Appendix A. Left Kan extensions preserve boundedness""; ""32. Degeneracy Map""; ""33. Bounded diagrams and left Kan extensions""; ""Appendix B. Categorical Preliminaries""; ""34. Categories over and under an object""; ""35. Relative version of categories over and under an object""; ""36. Pull-back process and Kan extensions""; ""37. Cofinality for colimits""; ""38. Grothendieck construction""; ""39. Grothendieck construction & the pull-back process""; ""40. Functors indexed by Grothendieck constructions"" ""Bibliography""""Index""; ""A""; ""B""; ""C""; ""D""; ""F""; ""G""; ""H""; ""I""; ""K""; ""L""; ""M""; ""N""; ""O""; ""P""; ""Q""; ""R""; ""S""; ""T""; ""U""; ""W"" |
| Record Nr. | UNINA-9910820405703321 |
|
Chachólski Wojciech <1968->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , [2002] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||