| Description |
1 online resource (130 pages) : illustrations |
| Series |
Memoirs of the American Mathematical Society, 1947-6221 ; Volume 230, Number 1079 |
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Memoirs of the American Mathematical Society ; Volume 230, no. 1079
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| Contents |
""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"" |
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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 |
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""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"" |
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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 |
| Notes |
"Volume 230, Number 1079 (first of 5 numbers)." |
| Bibliography |
Includes bibliographical references and index |
| Notes |
English |
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Print version record |
| Subject |
Homotopy theory.
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Operads.
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Loop spaces.
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Homotopy theory
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Loop spaces
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Operads
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| Form |
Electronic book
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| Author |
Volić, Ismar, 1973- author
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| ISBN |
9781470416690 |
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1470416697 |
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