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Iterated integrals and homotopy periods
About this Title
Richard M. Hain
Publication: Memoirs of the American Mathematical Society
Publication Year:
1984; Volume 47, Number 291
ISBNs: 978-0-8218-2291-3 (print); 978-1-4704-0701-8 (online)
DOI: https://doi.org/10.1090/memo/0291
MathSciNet review: 727818
MSC: Primary 55P62; Secondary 57T30
Table of Contents
Chapters
- 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