Obstructing Sliceness in a Family of Montesinos Knots
| dc.creator | Williams, Luke | |
| dc.date | 2008-09-07 | |
| dc.date.accessioned | 2026-07-07T10:01:21Z | |
| dc.date.available | 2026-07-07T10:01:21Z | |
| dc.description | Using Gauge theoretical techniques employed by Lisca for 2-bridge knots and by Greene-Jabuka for 3-stranded pretzel knots, we show that no member of the family of Montesinos knots M(0;[m_1+1,n_1+2],[m_2+1,n_2+2],q), with certain restrictions on m_i, n_i, and q, can be (smoothly) slice. Our techniques use Donaldson's diagonalization theorem and the fact that the 2-fold covers of Montisinos knots bound plumbing 4-manifolds, many of which are negative definite. Some of our examples include knots with signature 0 and square determinant. | |
| dc.description | 10 pages, 7 figures | |
| dc.identifier | https://arxiv.org/abs/0809.1247 | |
| dc.identifier | http://arxiv.org/abs/0809.1247 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/168602 | |
| dc.subject | Geometric Topology | |
| dc.subject | 57M25 | |
| dc.title | Obstructing Sliceness in a Family of Montesinos Knots | |
| dc.type | text |