Iterated Integrals and Homotopy Periods.

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.

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Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.