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Iterated Integrals And Cycles On Algebraic Manifolds.

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...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Harris, Bruno
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Singapore : World Scientific, 2004.
Colección:Nankai tracts in mathematics ; v. 7.
Temas:
Acceso en línea:Texto completo

MARC

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245 1 0 |a Iterated Integrals And Cycles On Algebraic Manifolds. 
260 |a Singapore :  |b World Scientific,  |c 2004. 
300 |a 1 online resource (121 pages) 
336 |a text  |b txt  |2 rdacontent 
337 |a computer  |b c  |2 rdamedia 
338 |a online resource  |b cr  |2 rdacarrier 
490 1 |a Nankai tracts in mathematics ;  |v v. 7 
520 |a 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 AbelJacobihomomorphism. Finally, he presents a more general point of viewrelating Chen's integrals to a generalization of the concept oflinking numbers, and ends. 
588 0 |a Print version record. 
505 0 |a Interated Integrals and Cycles on Algebraic Manifolds; Preface; Contents; 1. Iterated Integrals, Chen's Flat Connection and 1; 2. Iterated Integrals on Compact Riemann Surfaces; 3. The Generalized Linking Pairing and the Heat Kernel; Appendix: Orientations, Fiber Integration; Bibliography; List of Notations; Index. 
504 |a Includes bibliographical references (p. 101-102) and index. 
546 |a English. 
590 |a ProQuest Ebook Central  |b Ebook Central Academic Complete 
650 0 |a Algebraic cycles. 
650 0 |a Algebraic number theory. 
650 0 |a Geometry, Algebraic. 
650 0 |a Integrals. 
650 0 |a Manifolds (Mathematics) 
650 6 |a Intégrales. 
650 6 |a Cycles algébriques. 
650 6 |a Théorie algébrique des nombres. 
650 6 |a Variétés (Mathématiques) 
650 6 |a Géométrie algébrique. 
650 7 |a Algebraic cycles  |2 fast 
650 7 |a Algebraic number theory  |2 fast 
650 7 |a Geometry, Algebraic  |2 fast 
650 7 |a Integrals  |2 fast 
650 7 |a Manifolds (Mathematics)  |2 fast 
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830 0 |a Nankai tracts in mathematics ;  |v v. 7. 
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