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200 10$aIterated integrals and homotopy periods /$fRichard M. Hain
210  1$aProvidence, R.I., USA :$cAmerican Mathematical Society,$d[1984]
210  4$d©1984
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   $aMultiple integrals
615  0$aHomotopy theory.
615  0$aMultiple integrals.
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676   $a514/.24
700   $aHain$b Richard M$g(Richard Martin),$f1953-$01479868
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