TY - BOOK AU - Hain,Richard M. TI - Iterated integrals and homotopy periods T2 - Memoirs of the American Mathematical Society, SN - 9781470407018 (online) AV - QA3QA612.7 .A57 no. 291 U1 - 510 s514/.24 19 PY - 1984/// CY - Providence, R.I., USA PB - American Mathematical Society KW - Homotopy theory KW - Multiple integrals N1 - "January 1984, volume 47, number 291."; Bibliography: p. 96-98; 1. Introduction; 2. How to compute $\pi _*(M) \otimes \mathbb {R}$ using differential forms; 3. Notation and conventions; 4. Power series connections on semisimplicial complexes; 5. Iterated integrals; 6. Power series connections revisited; 7. Iterated integrals and homotopy periods; 8. A proof of the smoothing lemma; 9. Proofs of the rational loop space holomogy and cohomology theorems; Access is restricted to licensed institutions; Electronic reproduction; Providence, Rhode Island; American Mathematical Society; 2012 UR - http://www.ams.org/memo/0291 UR - http://dx.doi.org/10.1090/memo/0291 ER -