A primer on mapping class groups
"The study of the mapping class group Mod(S) is a classical topic that is experiencing a renaissance. It lies at the juncture of geometry, topology, and group theory. This book explains as many important theorems, examples, and techniques as possible, quickly and directly, while at the same tim...
Đã lưu trong:
| Những tác giả chính: | , |
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| Định dạng: | Livre numérique |
| Ngôn ngữ: | Anglais |
| Được phát hành: |
Princeton ; N.J :
Princeton University Press
2011.
Palo Alto, Calif : ebrary 2011. |
| Loạt: | Princeton mathematical series
49 |
| Những chủ đề: | |
| Truy cập trực tuyến: | Accès Université d'Orléans et IFPM Accès INSA CVL |
| Chú thích: |
Includes bibliographical references and index La pagination de l'édition imprimée correspondante est de 489 p. Cyberlibris (ScholarVox) corpus Sciences de l'ingénieur Cyberlibris (ScholarVox) corpus Sciences de l'ingénieur |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • A primer on mapping class groups, Texte imprimé, 9781400839049 |
| Tóm tắt: | "The study of the mapping class group Mod(S) is a classical topic that is experiencing a renaissance. It lies at the juncture of geometry, topology, and group theory. This book explains as many important theorems, examples, and techniques as possible, quickly and directly, while at the same time giving full details and keeping the text nearly self-contained. The book is suitable for graduate students.The book begins by explaining the main group-theoretical properties of Mod(S), from finite generation by Dehn twists and low-dimensional homology to the Dehn-Nielsen-Baer theorem. Along the way, central objects and tools are introduced, such as the Birman exact sequence, the complex of curves, the braid group, the symplectic representation, and the Torelli group. The book then introduces Teichm(c)oller space and its geometry, and uses the action of Mod(S) on it to prove the Nielsen-Thurston classification of surface homeomorphisms. Topics include the topology of the moduli space of Riemann surfaces, the connection with surface bundles, pseudo-Anosov theory, and Thurston's approach to the classification"--Provided by publisher |
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| Mô tả sách: | Includes bibliographical references and index La pagination de l'édition imprimée correspondante est de 489 p. Cyberlibris (ScholarVox) corpus Sciences de l'ingénieur Cyberlibris (ScholarVox) corpus Sciences de l'ingénieur |
| Định dạng: | Nécessite un navigateur et un lecteur de fichier PDF |
| số ISBN: | 9781400839049 |
| Truy cập: | L'accès complet à la ressource est réservé aux usagers des établissements qui en ont fait l'acquisition |