Knots with g(E(K)) = 2 and g(E(K#K#K)) = 6 and Morimoto's Conjecture
| dc.creator | Kobayashi, Tsuyoshi | |
| dc.creator | Rieck, Yo'av | |
| dc.date | 2007-01-26 | |
| dc.date | 2007-03-13 | |
| dc.date.accessioned | 2026-07-07T07:51:23Z | |
| dc.date.available | 2026-07-07T07:51:23Z | |
| dc.description | We show that there exist knots K in S^3 with g(E(K))=2 and g(E(K#K#K))=6. Together with Theorem~1.5 of [1], this proves existence of counterexamples to Morimoto's Conjecture (Conjecture 1.5 of [2]). This is a special case of arxiv.org/abs/math.GT/0701765 [1] Tsuyoshi Kobayashi and Yo'av Rieck. On the growth rate of the tunnel number of knots. J. Reine Angew. Math., 592:63--78, 2006. [2] Kanji Morimoto. On the super additivity of tunnel number of knots.Math. Ann., 317(3):489--508, 2000. | |
| dc.description | 6 pages. Final version | |
| dc.identifier | https://arxiv.org/abs/math/0701766 | |
| dc.identifier | http://arxiv.org/abs/math/0701766 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/125491 | |
| dc.subject | Geometric Topology | |
| dc.subject | 57M99 | |
| dc.title | Knots with g(E(K)) = 2 and g(E(K#K#K)) = 6 and Morimoto's Conjecture | |
| dc.type | text |