Iterated Integrals And Cycles On Algebraic Manifolds
by
Bruno Harris
Book Details
Format
Hardback or Cased Book
Book Series
Nankai Tracts in Mathematics
ISBN-10
981238720X
ISBN-13
9789812387202
Publisher
World Scientific Publishing Co Pte Ltd
Imprint
World Scientific Publishing Co Pte Ltd
Country of Manufacture
SG
Country of Publication
GB
Publication Date
Mar 16th, 2004
Print length
120 Pages
Weight
302 grams
Dimensions
24.00 x 16.90 x 1.20 cms
Product Classification:
Number theory
Ksh 12,800.00
Publisher Out of Stock
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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.
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.
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