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World Scientific Publishing Company Iterated Integrals and Cycles on Algebraic Manifolds (Iterated Integrals and Cycles on Algebraic Manifolds (Nankai Tracts in Mathematics: Vol. 7)

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Description

This subject has been of great interest both to topologists and to number theorists. The 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.

Product Specifications

Format
hardcover
Domain
Amazon UK
Release Date
16 March 2004
Listed Since
05 February 2007

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