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Iterated Integrals And Cycles On Algebraic Manifolds

Name: Iterated Integrals And Cycles On Algebraic Manifolds
Brand: World Scientific Publishing Co Pte Ltd
SKU: 05067689
Price: 93.89 EUR
Availability: InStock
Author: Bruno Harris
ISBN: 9789812387202

Bruno Harris

Language

English

Book Hardback

Libristo code: 05067689

Publishers World Scientific Publishing Co Pte Ltd, March 2004

This work has been of great interest both to topologists and to number theorists. The first part of... Full description

Libristo code: 05067689

230 b

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This work 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.