Iterated Integrals And Cycles On Algebraic Manifolds

This subject has been of great interest both to topologists and to number theorists.\n\nThe first part of this book describes some of the work of Kuo-Tsai Chen on iterated integrals and the fundamental group of a manifold. The author attempts to make his exposition accessible to beginning graduate students. He then proceeds to apply Chen's constructions to algebraic geometry, showing how this leads to some results on algebraic cycles and the Abel-Jacobi homomorphism. Finally, he presents a more general point of view relating Chen's integrals to a generalization of the concept of linking numbers, and ends up with a new invariant of homology classes in a projective algebraic manifold. The book is based on a course given by the author at the Nankai Institute of Mathematics in the fall of 2001.Iterated Integrals And Cycles On Algebraic Manifolds is written by Harris Bruno and published by World Scientific. ISBNs for Iterated Integrals And Cycles On Algebraic Manifolds are 9789812562579, 9812562575 and the print ISBNs are 9789812387202, 981238720X.