Inequivalent surface-knots with the same knot quandle
| dc.creator | Tanaka, Kokoro | |
| dc.date | 2005-12-05 | |
| dc.date.accessioned | 2026-07-07T06:54:52Z | |
| dc.date.available | 2026-07-07T06:54:52Z | |
| dc.description | We have a knot quandle and a fundamental class as invariants for a surface-knot. These invariants can be defined for a classical knot in a similar way, and it is known that the pair of them is a complete invariant for classical knots. In this paper, we compare a situation in surface-knot theory with that in classical knot theory, and prove the following: There exist arbitrarily many inequivalent surface-knots of genus $g$ with the same knot quandle, and there exist two inequivalent surface-knots of genus $g$ with the same knot quandle and with the same fundamental class. | |
| dc.description | 9 pages, no figure | |
| dc.identifier | https://arxiv.org/abs/math/0512099 | |
| dc.identifier | http://arxiv.org/abs/math/0512099 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/106093 | |
| dc.subject | Geometric Topology | |
| dc.subject | Primary 57Q45; Secondary 57M25 | |
| dc.title | Inequivalent surface-knots with the same knot quandle | |
| dc.type | text |