LEADER 03753nam 2200613 450 001 9910481019403321 005 20170821201330.0 010 $a1-4704-1669-7 035 $a(CKB)3710000000230216 035 $a(EBL)3114053 035 $a(SSID)ssj0001222273 035 $a(PQKBManifestationID)11707529 035 $a(PQKBTitleCode)TC0001222273 035 $a(PQKBWorkID)11195416 035 $a(PQKB)10635729 035 $a(MiAaPQ)EBC3114053 035 $a(PPN)195408640 035 $a(EXLCZ)993710000000230216 100 $a20150415h20132013 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aFormality of the little N-disks operad /$fPascal Lambrechts, Ismar Volic? 210 1$aProvidence, Rhode Island :$cAmerican Mathematical Society,$d2013. 210 4$dİ2013 215 $a1 online resource (130 p.) 225 1 $aMemoirs of the American Mathematical Society,$x1947-6221 ;$vVolume 230, Number 1079 300 $a"Volume 230, Number 1079 (first of 5 numbers)." 311 $a0-8218-9212-6 320 $aIncludes bibliographical references and index. 327 $a""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 a???^{a???}""; ""5.2. The operad structure""; ""5.3. The canonical projections"" 327 $a""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"" 327 $a""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 I??_{ } and I??_{ }""; ""7.2. I??_{ } and I??_{ } are morphisms of algebras""; ""7.3. I??_{ } is a chain map""; ""7.4. Proof that the cooperad structure is well-defined""; ""Chapter 8. Equivalence of the cooperads and a???*( [a???])""; ""Chapter 9. The Kontsevich configuration space integrals""; ""9.1. Construction of the Kontsevich configuration space integral ""; ""9.2. is a morphism of algebras"" 327 $a""9.3. Vanishing of on non-admissible diagrams""""9.4. and are chain maps""; ""9.5. and are almost morphisms of cooperads""; ""Chapter 10. Proofs of the formality theorems""; ""Index of notation""; ""Bibliography"" 410 0$aMemoirs of the American Mathematical Society ;$vVolume 230, Number 1079. 606 $aHomotopy theory 606 $aOperads 606 $aLoop spaces 608 $aElectronic books. 615 0$aHomotopy theory. 615 0$aOperads. 615 0$aLoop spaces. 676 $a514/.24 700 $aLambrechts$b Pascal$f1964-$0940176 702 $aVolic?$b Ismar$f1973- 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910481019403321 996 $aFormality of the little N-disks operad$92119993 997 $aUNINA