Download E-books Iterated Integrals and Cycles on Algebraic Maniforlds (Nankai Tracts in Mathematics, Vol. 7) PDF

By Bruno Harris

This topic has been of serious curiosity either to topologists and to quantity theorists. the 1st a part of this booklet describes a number of the paintings of Kuo-Tsai Chen on iterated integrals and the basic crew of a manifold. the writer makes an attempt to make his exposition available to starting graduate scholars. He then proceeds to use Chen's buildings to algebraic geometry, exhibiting how this ends up in a few effects on algebraic cycles and the Abel-Jacobi homomorphism. ultimately, he offers a extra normal standpoint pertaining to Chen's integrals to a generalization of the idea that of linking numbers, and finally ends up with a brand new invariant of homology sessions in a projective algebraic manifold. The ebook relies on a direction given via the writer on the Nankai Institute of arithmetic within the fall of 2001.

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