Iterated integrals and cycles on algebraic manifolds [[electronic resource] /] / Bruno Harris
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| Autore: |
Harris Bruno
|
| Titolo: |
Iterated integrals and cycles on algebraic manifolds [[electronic resource] /] / Bruno Harris
|
| Pubblicazione: | Singapore ; ; River Edge, NJ, : World Scientific, c2004 |
| Descrizione fisica: | 1 online resource (121 p.) |
| Disciplina: | 514.3 |
| 516.35 | |
| Soggetto topico: | Integrals |
| Algebraic cycles | |
| Algebraic number theory | |
| Manifolds (Mathematics) | |
| Geometry, Algebraic | |
| Soggetto genere / forma: | Electronic books. |
| Altri autori: |
ChenK.-T <1923-1987.> (Kuo-Tsai)
|
| Note generali: | "Part of this book describes some of the work of Kuo-Tsai Chen on iterated integrals and the fundamental group of a manifold ... Based on a course by the author at the Nankai Institute of Mathematics in the fall of 2001." |
| Nota di bibliografia: | Includes bibliographical references (p. 101-102) and index. |
| Nota di contenuto: | 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 |
| Sommario/riassunto: | 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 Abel-Jacobihomomorphism. Finally, he presents a more general point of viewrelating Chen's integrals to a generalization of the concept oflinking numbers, and ends |
| Titolo autorizzato: | Iterated integrals and cycles on algebraic manifolds |
| ISBN: | 1-281-87250-4 |
| 9786611872502 | |
| 981-256-257-5 | |
| Formato: | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione: | Inglese |
| Record Nr.: | 9910450330503321 |
| Lo trovi qui: | Univ. Federico II |
| Opac: | Controlla la disponibilità qui |
Serie:
Nankai tracts in mathematics ; ; v. 7.