Formality of the little N-disks operad / / Pascal Lambrechts, Ismar Volić

• Record Nr.: UNINA9910787195203321
• Autore: Lambrechts Pascal <1964->
• Pubbl/distr/stampa: Providence, Rhode Island : , : American Mathematical Society, , 2013; ©2013
• ISBN: 1-4704-1669-7
• Descrizione fisica: 1 online resource (130 p.)
• Collana: Memoirs of the American Mathematical Society, , 1947-6221 ; ; Volume 230, Number 1079
• Disciplina: 514/.24
• Soggetti: Homotopy theory; Operads; Loop spaces
• Lingua di pubblicazione: Inglese
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Note generali: "Volume 230, Number 1079 (first of 5 numbers)."
• Nota di bibliografia: Includes bibliographical references and index.
• Nota di contenuto: ""Contents""; ""Acknowledgments""; ""Chapter 1. Introduction""; ""1. Plan of the paper""; ""Chapter 2. Notation, linear orders, weak partitions, and operads""; ""2.1. Notation""; ""2.2. Linear orders""; ""2.3. Weak ordered partitions""; ""2.4. Operads and cooperads""; ""Chapter 3. CDGA models for operads""; ""Chapter 4. Real homotopy theory of semi-algebraic sets""; ""Chapter 5. The Fulton-MacPherson operad""; ""5.1. Compactification of configuration spaces in â??^{â??}""; ""5.2. The operad structure""; ""5.3. The canonical projections""; ""5.4. Decomposition of the boundary of [ ] into codimension 0 faces""""5.5. Spaces of singular configurations""; ""5.6. Pullback of a canonical projection along an operad structure map""; ""5.7. Decomposition of the fiberwise boundary along a canonical projection""; ""5.8. Orientation of [ ]""; ""5.9. Proof of the local triviality of the canonical projections""; ""Chapter 6. The CDGAs of admissible diagrams""; ""6.1. Diagrams""; ""6.2. The module ( ) of diagrams""; ""6.3. Product of diagrams""; ""6.4. A differential on the space of diagrams""; ""6.5. The CDGA ( ) of admissible diagrams""""Chapter 7. Cooperad structure on the spaces of (admissible) diagrams""; ""7.1. Construction of the cooperad structure maps Î?_{ } and Î?_{ }""; ""7.2. Î?_{ } and Î?_{ } are morphisms of algebras""; ""7.3. Î?_{ } is a chain map""; ""7.4. Proof ; that the cooperad structure is well-defined""; ""Chapter 8. Equivalence of the cooperads and â??*( [â??])""; ""Chapter 9. The Kontsevich configuration space integrals""; ""9.1. Construction of the Kontsevich configuration space integral ""; ""9.2. is a morphism of algebras""; ""9.3. Vanishing of on non-admissible diagrams""""9.4. and are chain maps""; ""9.5. and are almost morphisms of cooperads""; ""Chapter 10. Proofs of the formality theorems""; ""Index of notation""; ""Bibliography""