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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.
World Scientific; January 2004
121 pages; ISBN 9789812562579
Read online, or download in secure PDF format
121 pages; ISBN 9789812562579
Read online, or download in secure PDF format
