Networking Seifert surgeries on knots / / Arnaud Deruelle, Katura Miyazaki, Kimihiko Motegi

• Record Nr.: UNINA9910480858503321
• Autore: Deruelle Arnaud <1974->
• Pubbl/distr/stampa: Providence, Rhode Island : , : American Mathematical Society, , 2011; ©2011
• ISBN: 0-8218-8754-8
• Descrizione fisica: 1 online resource (130 p.)
• Collana: Memoirs of the American Mathematical Society, , 0065-9266 ; ; Volume 217, Number 1021
• Disciplina: 514/.34
• Soggetti: Knot theory; Complex manifolds; Fiber spaces (Mathematics); Electronic books.
• Lingua di pubblicazione: Inglese
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Note generali: "May 2012, Volume 217, Number 1021 (third of 4 numbers)."
• Nota di bibliografia: Includes bibliographical references.
• Nota di contenuto: ""Contents""; ""Acknowledgments""; ""Chapter 1. Introduction""; ""Chapter 2. Seiferters and Seifert Surgery Network""; ""2.1. Seiferters for Seifert surgeries""; ""2.2. mâ€?equivalence of seiferters""; ""2.3. Pairs of seiferters""; ""2.4. Seifert Surgery Network""; ""2.5. Distance and complexity for Seifert surgeries""; ""Chapter 3. Classification of seiferters""; ""3.1. Hyperbolic seiferters""; ""3.2. Seiferters for non-degenerate Seifert fibrations""; ""3.3. Seiferters for degenerate Seifert fibrations""; ""Chapter 4. Geometric aspects of seiferters""; ""4.1. Geodesic seiferters""; ""4.2. Seiferters with arbitrarily large volume""""Chapter 5. Sâ€?linear trees""; ""5.1. Seifert invariants of seiferters""; ""5.2. Linear trees generated by seiferters""; ""5.3. Classification of Sâ€?linear trees""; ""5.4. Hyperbolic seiferters and Sâ€?linear trees""; ""Chapter 6. Combinatorial structure of Seifert Surgery Network""; ""6.1. Intersection of two Sâ€?linear trees""; ""6.2. Cycles in the Seifert Surgery Network""; ""6.3. Local infiniteness of the Seifert Surgery Network""; ""Chapter 7. Asymmetric seiferters and Seifert surgeries on knots without symmetry""; ""Chapter 8. Seifert surgeries on torus knots and graph knots""""8.1. Subnetwork of Seifert surgeries on torus knots""; ""8.2. Subnetwork of Seifert surgeries on graph knots""; ""Chapter 9. Paths from various known Seifert surgeries to those on torus knots""; ""9.1. Lens surgeries given by primitive/primitive construction""; ""9.2. Seifert surgeries given by primitive/Seifertâ€?fibered construction""; ""9.3. Seifert surgeries given by the Montesinos trick""; ""9.4. Toroidal Seifert surgeries over S2""; ""9.5. Toroidal Seifert surgeries over RP2""; ""Bibliography""