Overview

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.

Full Product Details

Author:   Bruno Harris (Brown Univ, Usa)
Publisher:   World Scientific Publishing Co Pte Ltd
Imprint:   World Scientific Publishing Co Pte Ltd
Volume:   7
Dimensions:   Width: 16.90cm , Height: 1.20cm , Length: 23.00cm
ISBN:  

9789812387202

ISBN 10:   981238720
Pages:   120
Publication Date:   16 March 2004
Audience:   College/higher education ,  Professional and scholarly ,  College/higher education ,  Tertiary & Higher Education ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   Out of stock  
The supplier is temporarily out of stock of this item. It will be ordered for you on backorder and shipped when it becomes available.

Table of Contents

Iterated Integrals, Chen's Flat Connection and [pi]1; Iterated Integrals on Compact Riemann Surfaces; The Generalized Linking Pairing and the Heat Kernel.

Reviews

.,."" the first self contained introduction to this subject which is also adapted for non experts and graduate students.?

.,. the first self contained introduction to this subject which is also adapted for non experts and graduate students.?

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