Punctured Torus Groups and 2-Bridge Knot Groups (I)
This monograph is Part 1 of a book project intended to give a full account of Jorgensen's theory of punctured torus Kleinian groups and its generalization, with application to knot theory. Although Jorgensen's original work was not published in complete form, it has been a source of inspir...
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| Auteurs principaux: | , , , |
|---|---|
| Format: | Livre numérique |
| Langue: | Anglais |
| Publié: |
Berlin, Heidelberg :
Springer Berlin Heidelberg
[20..].
Cham : Springer Nature |
| Édition: | 1st ed. 2007. |
| Collection: | Lecture Notes in Mathematics
1909 |
| Sujets: | |
| Accès en ligne: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Note: |
L'impression du document génère 292 p. Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Punctured torus groups and 2-bridge knot groups (I), Hirotaka Akiyoshi, Makoto Sakuma, Masaaki Wada... [et al.], Berlin, Springer, 2007, 1 vol. (XLIII-249 p.), Lecture Notes in Mathematics, 978-3-540-71806-2 |
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| 020 | |a 9783540718079 | ||
| 041 | 0 | |a eng | |
| 082 | |a 514.34 | ||
| 082 | |a 510 | ||
| 084 | |a 57M50. 2010 | ||
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| 084 | |a 20H10. 2010 | ||
| 100 | 1 | |a Akiyoshi, Hirotaka. | |
| 245 | 1 | 0 | |a Punctured Torus Groups and 2-Bridge Knot Groups (I) |c Hirotaka Akiyoshi, Makoto Sakuma, Masaaki Wada... [et al. |
| 250 | |a 1st ed. 2007. | ||
| 260 | |a Berlin, Heidelberg : |b Springer Berlin Heidelberg. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 0 | |a Lecture Notes in Mathematics |v 1909 |x 1617-9692 | |
| 500 | |a L'impression du document génère 292 p. | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 504 | |a Bibliogr. index | ||
| 505 | 1 | |a Jorgensen's picture of quasifuchsian punctured torus groups Fricke surfaces and PSL(2, ?)-representations Labeled representations and associated complexes Chain rule and side parameter Special examples Reformulation of Main Theorem 1.3.5 and outline of the proof Openness Closedness Algebraic roots and geometric roots | |
| 506 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | ||
| 506 | |a Accès soumis à abonnement pour tout autre établissement | ||
| 506 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 520 | |a This monograph is Part 1 of a book project intended to give a full account of Jorgensen's theory of punctured torus Kleinian groups and its generalization, with application to knot theory. Although Jorgensen's original work was not published in complete form, it has been a source of inspiration. In particular, it has motivated and guided Thurston's revolutionary study of low-dimensional geometric topology. In this monograph, we give an elementary and self-contained description of Jorgensen's theory with a complete proof. Through various informative illustrations, readers are naturally led to an intuitive, synthetic grasp of the theory, which clarifies how a very simple fuchsian group evolves into complicated Kleinian groups | ||
| 650 | |a Groupes de Klein | ||
| 650 | |a Tore (géométrie) | ||
| 650 | |a Groupes fuchsiens | ||
| 650 | |a Géométrie hyperbolique | ||
| 650 | |a Théorie des noeuds | ||
| 650 | |a Mathématiques | ||
| 650 | |a Groupes, Théorie des | ||
| 650 | |a Fonctions d'une variable complexe | ||
| 700 | 1 | |a Yamashita, Yasushi. |4 aut | |
| 700 | 1 | |a Wada, Masaaki. |4 aut | |
| 700 | 1 | |a Sakuma, Makoto, |d 19..- |4 aut | |
| 776 | 0 | |0 115818790 |t Punctured torus groups and 2-bridge knot groups (I) |f Hirotaka Akiyoshi, Makoto Sakuma, Masaaki Wada... [et al.] |c Berlin |n Springer |d 2007 |p 1 vol. (XLIII-249 p.) |s Lecture Notes in Mathematics |z 978-3-540-71806-2 | |
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