02697nam 2200565 450 991078888630332120170918220702.01-4704-0701-9(CKB)3360000000464475(EBL)3113714(SSID)ssj0000973262(PQKBManifestationID)11514570(PQKBTitleCode)TC0000973262(PQKBWorkID)10959482(PQKB)11079191(MiAaPQ)EBC3113714(RPAM)3297002(PPN)195411730(EXLCZ)99336000000046447519831103h19841984 uy| 0engur|n|---|||||txtccrIterated integrals and homotopy periods /Richard M. HainProvidence, R.I., USA :American Mathematical Society,[1984]©19841 online resource (104 p.)Memoirs of the American Mathematical Society,0065-9266 ;number 291"January 1984, volume 47, number 291."0-8218-2291-8 Bibliography: pages 96-98.""CONTENTS""; ""1. INTRODUCTION""; ""2. HOW TO COMPUTE â??[sub(*)](M) ࣠̄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""""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""Memoirs of the American Mathematical Society ;no. 291.Homotopy theoryMultiple integralsHomotopy theory.Multiple integrals.510 s514/.24Hain Richard M(Richard Martin),1953-1479868MiAaPQMiAaPQMiAaPQBOOK9910788886303321Iterated integrals and homotopy periods3696220UNINA