Iterated Integrals and Cycles on Algebraic Manifolds PDF Download
Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download Iterated Integrals and Cycles on Algebraic Manifolds PDF full book. Access full book title Iterated Integrals and Cycles on Algebraic Manifolds by Bruno Harris. Download full books in PDF and EPUB format.
Author: Bruno Harris
Publisher: World Scientific
ISBN: 981238720X
Category : Mathematics
Languages : en
Pages : 121
Get Book Here
Book 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.
Author: Bruno Harris
Publisher: World Scientific
ISBN: 981238720X
Category : Mathematics
Languages : en
Pages : 121
Get Book Here
Book 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.
Author: Bruno Harris
Publisher: World Scientific
ISBN: 9814483478
Category : Mathematics
Languages : en
Pages : 121
Get Book Here
Book 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.
Author: Bruno Harris
Publisher: World Scientific
ISBN: 9812562575
Category : Mathematics
Languages : en
Pages : 121
Get Book Here
Book Description
This subject has been of great interest both to topologists and tonumber theorists. The first part of this book describes some of thework of Kuo-Tsai Chen on iterated integrals and the fundamental groupof a manifold. The author attempts to make his exposition accessibleto beginning graduate students. He then proceeds to apply Chen''sconstructions to algebraic geometry, showing how this leads to someresults on algebraic cycles and the AbelOCoJacobihomomorphism. Finally, he presents a more general point of viewrelating Chen''s integrals to a generalization of the concept oflinking numbers, and ends up with a new invariant of homology classesin a projective algebraic manifold. The book is based on a coursegiven by the author at the Nankai Institute of Mathematics in the fallof 2001."
Author: Jay Jorgenson
Publisher: American Mathematical Soc.
ISBN: 0821836986
Category : Mathematics
Languages : en
Pages : 410
Get Book Here
Book Description
The aim of this volume is to bring together research ideas from various fields of mathematics which utilize the heat kernel or heat kernel techniques in their research. The intention of this collection of papers is to broaden productive communication across mathematical sub-disciplines and to provide a vehicle which would allow experts in one field to initiate research with individuals in another field, as well as to give non-experts a resource which can facilitate expanding theirresearch and connecting with others.
Author: Luigi Accardi
Publisher: World Scientific
ISBN: 9814474797
Category : Mathematics
Languages : en
Pages : 391
Get Book Here
Book Description
This volume contains the latest results in the fields of quantum probability and infinite dimensional analysis. The contributions range from classical probability, 'pure' functional analysis and foundations of quantum mechanics to applications in mathematical physics, quantum information theory and modern mathematical finance. This diversity illustrates that research in quantum probability and infinite dimensional analysis is very active and strongly involved in modern mathematical developments and applications.
Author: S. Chmutov
Publisher: Cambridge University Press
ISBN: 1107020832
Category : Mathematics
Languages : en
Pages : 521
Get Book Here
Book Description
A detailed exposition of the theory with an emphasis on its combinatorial aspects.
Author: Shiing-Shen Chern
Publisher: World Scientific
ISBN: 9789812777416
Category : Mathematics
Languages : en
Pages : 278
Get Book Here
Book Description
The Wei-Liang Chow and Kuo-Tsai Chen Memorial Conference was proposed and held by Prof S S Chern in Nankai Institute of Mathematics. It was devoted to memorializing those two outstanding and original Chinese mathematicians who had made significant contributions to algebraic geometry and algebraic topology, respectively. It also provided a forum for leading mathematicians to expound and discuss their views on new ideas in these fields, as well as trends in 21st Century mathematics. About 100 mathematicians participated in the conference, including Sir Michael Atiyah, Jacob Palis, Phillip Griffiths, David Eisenbud, Philippe Tondeur, Yujiro Kawamata, Tian Gang, etc.This invaluable volume contains the selected papers presented at the conference. The topics include canonical maps of Gorenstein 3-folds, fundamental groups of algebraic curves, Chen''s interated integrals, algebraic fiber spaces, and others.
Author: American Mathematical Society
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 630
Get Book Here
Book Description
Author: Phillip A. Griffiths
Publisher:
ISBN:
Category :
Languages : en
Pages : 69
Get Book Here
Book Description
Author:
Publisher:
ISBN:
Category : Electronic journals
Languages : en
Pages : 366
Get Book Here
Book Description
Founded in 1884, Annals of Mathematics publishes research papers in pure mathematics.
