Bounds on the Crosscap Number of Torus Knots
| dc.creator | Mattman, Thomas W. | |
| dc.creator | Sizemore, Owen | |
| dc.date | 2004-09-29 | |
| dc.date | 2004-10-04 | |
| dc.date.accessioned | 2026-07-07T05:12:42Z | |
| dc.date.available | 2026-07-07T05:12:42Z | |
| dc.description | For a torus knot K, we bound the crosscap number c(K) in terms of the genus g(K) and crossing number n(K): c(K) \leq [(g(K)+9)/6] and c(K) \leq [(n(K) + 16)/12]. The (6n-2,3) torus knots show that these bounds are sharp. | |
| dc.description | 7 Pages, 0 figures Version 2 - corrected a typo: Clark showed c(K) \le 2g(K) + 1 | |
| dc.identifier | https://arxiv.org/abs/math/0409581 | |
| dc.identifier | http://arxiv.org/abs/math/0409581 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/72676 | |
| dc.subject | Geometric Topology | |
| dc.subject | 57M25 | |
| dc.title | Bounds on the Crosscap Number of Torus Knots | |
| dc.type | text |