Formality of the little N-disks operad /

Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Lambrechts, Pascal, 1964- (Autor), Volić, Ismar, 1973- (Autor)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Providence, Rhode Island : American Mathematical Society, 2013.
Colección:Memoirs of the American Mathematical Society ; Volume 230, no. 1079.
Temas:
Homotopy theory.
Operads.
Loop spaces.
Homotopie.
Opérades.
Espaces de lacets.
Homotopy theory
Loop spaces
Operads
Acceso en línea:Texto completo
Tabla de Contenidos:
  • ""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 faces5.5. 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 diagrams9.4. and are chain maps
  • 9.5. and are almost morphisms of cooperads
  • Chapter 10. Proofs of the formality theorems
  • Index of notation
  • Bibliography

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