Autor:	Futer, D., Ishikawa, M., Kabaya, Y., Mattman, T., Shimokawa, K.
Rok vydání:	2008
Předmět:	Mathematics - Geometric Topology 57M25 57M05 57M50
Zdroj:	Algebr. Geom. Topol. 9 (2009) 743-771
Druh dokumentu:	Working Paper
DOI:	10.2140/agt.2009.9.743
Popis:	We classify Dehn surgeries on (p,q,r) pretzel knots that result in a manifold of finite fundamental group. The only hyperbolic pretzel knots that admit non-trivial finite surgeries are (-2,3,7) and (-2,3,9). Agol and Lackenby's 6-theorem reduces the argument to knots with small indices p,q,r. We treat these using the Culler-Shalen norm of the SL(2,C)-character variety. In particular, we introduce new techniques for demonstrating that boundary slopes are detected by the character variety. Comment: 18 pages, 15 figures v2 - minor revisions throughout
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/0809.4278 Zobrazit plný text záznamu View this record from Arxiv