TY  - BOOK
AU  - Hain,Richard M.
TI  - Iterated Integrals and Homotopy Periods
T2  - Memoirs of the American Mathematical Society
SN  - 9781470407018
AV  - QA612.7 -- .H35 1984eb 
U1  - 510 s;514/.24 
PY  - 1984///
CY  - Providence
PB  - American Mathematical Society
KW  - Homotopy theory
KW  - Multiple integrals
KW  - Electronic books
N1  - Intro -- CONTENTS -- 1. INTRODUCTION -- 2. HOW TO COMPUTE ∏[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
UR  - https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3113714
ER  -