The Culler-Shalen seminorms of the (-2,3,n) pretzel knot
| dc.creator | Mattman, Thomas W. | |
| dc.date | 1999-11-12 | |
| dc.date | 2001-08-08 | |
| dc.date.accessioned | 2026-07-07T05:31:34Z | |
| dc.date.available | 2026-07-07T05:31:34Z | |
| dc.description | We show that the SL(2,C)-character variety of the (-2,3,n) pretzel knot consists of two (respectively three) algebraic curves when 3 does not divide n (respectively 3 divides n) and give an explicit calculation of the Culler-Shalen seminorms of these curves. Using this calculation, we describe the fundamental polygon and Newton polygon for these knots and give a list of Dehn surgeries yielding a manifold with finite or cyclic fundamental group. This constitutes a new proof of property P for these knots. | |
| dc.description | 34 pages, 11 figures; Results unchanged but major revision of logic and more detailed arguments | |
| dc.identifier | https://arxiv.org/abs/math/9911085 | |
| dc.identifier | http://arxiv.org/abs/math/9911085 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/79391 | |
| dc.subject | Geometric Topology | |
| dc.subject | 57M25; 57R65 | |
| dc.title | The Culler-Shalen seminorms of the (-2,3,n) pretzel knot | |
| dc.type | text |