1.

Record Nr.

UNINA9910827427703321

Autore

Deruelle Arnaud <1974->

Titolo

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

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)

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. m�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. S�linear trees""; ""5.1. Seifert invariants of seiferters""; ""5.2. Linear trees generated by seiferters""; ""5.3. Classification of S�linear trees""; ""5.4. Hyperbolic seiferters and S�linear trees""; ""Chapter 6. Combinatorial structure of Seifert Surgery Network""; ""6.1. Intersection of two S�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/Seifert�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""