Download or read book Iterated Integrals and Homotopy Periods written by Richard Martin Hain and published by American Mathematical Soc.. This book was released on 1984 with total page 105 pages. Available in PDF, EPUB and Kindle. Book excerpt: Of the various minimal algebraic models of a simply connected space that have been constructed in the last decade, possibly the least understood and the one most suitable for application in geometry is K.-T. Chen's non-commutative algebra model. In this paper we give a complete exposition of Chen's methods and extend these in two directions: we establish a rational version of Chen's theory for simply connected semisimplicial complexes, and we show that the set of primitive elements of Chen's model is a Lie algebra model of the space whose generators correspond to cells in the space that represent non trivial rational homology classes.