LEADER 02700nam 2200565 450 001 9910479909603321 005 20170918220702.0 010 $a1-4704-0701-9 035 $a(CKB)3360000000464475 035 $a(EBL)3113714 035 $a(SSID)ssj0000973262 035 $a(PQKBManifestationID)11514570 035 $a(PQKBTitleCode)TC0000973262 035 $a(PQKBWorkID)10959482 035 $a(PQKB)11079191 035 $a(MiAaPQ)EBC3113714 035 $a(PPN)195411730 035 $a(EXLCZ)993360000000464475 100 $a19831103h19841984 uy| 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aIterated integrals and homotopy periods /$fRichard M. Hain 210 1$aProvidence, R.I., USA :$cAmerican Mathematical Society,$d[1984] 210 4$dİ1984 215 $a1 online resource (104 p.) 225 1 $aMemoirs of the American Mathematical Society,$x0065-9266 ;$vnumber 291 300 $a"January 1984, volume 47, number 291." 311 $a0-8218-2291-8 320 $aBibliography: pages 96-98. 327 $a""CONTENTS""; ""1. INTRODUCTION""; ""2. HOW TO COMPUTE a???[sub(*)](M) a?£ ?R USING DIFFERENTIAL FORMS""; ""The Whitehead Product""; ""The de Rham Theorem""; ""Power Series Connections""; ""The Main Theorem""; ""Appendix""; ""3. NOTATION AND CONVENTIONS""; ""4. POWER SERIES CONNECTIONS ON SEMISIMPLICIAL COMPLEXES""; ""Differentiable Spaces""; ""Polynomial Forms on an s.s.c.""; ""Connections on Cochain Algebras""; ""The Main Theorem""; ""5. ITERATED INTEGRALS""; ""Loop Spaces""; ""Iterated Integrals""; ""Properties of Iterated Integrals""; ""6. POWER SERIES CONNECTIONS REVISITED"" 327 $a""The Smoothing Lemma""""Loop Space Cohomology""; ""The Transport of a Connection""; ""The Lie Transport""; ""Uniqueness and Naturality of Power Series Connections""; ""Topological Interpretation of the Model""; ""7. ITERATED INTEGRALS AND H0M0T0PY PERIODS""; ""Iterated integrals and Minimal Models""; ""8. A PROOF OF THE SMOOTHING LEMMA""; ""9. PROOFS OF THE RATIONAL LOOP SPACE HOLOMOGY AND COHOMOLOGY THEOREMS""; ""REFERENCES"" 410 0$aMemoirs of the American Mathematical Society ;$vno. 291. 606 $aHomotopy theory 606 $aMultiple integrals 608 $aElectronic books. 615 0$aHomotopy theory. 615 0$aMultiple integrals. 676 $a510 s 676 $a514/.24 700 $aHain$b Richard M$g(Richard Martin),$f1953-$0962655 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910479909603321 996 $aIterated integrals and homotopy periods$92182831 997 $aUNINA