التفاصيل البيبلوغرافية
| العنوان: |
Distance to longitude. |
| المؤلفون: |
Matignon, Daniel1 daniel.matignon@univ-amu.fr |
| المصدر: |
Journal of Knot Theory & Its Ramifications. Jan2019, Vol. 28 Issue 1, pN.PAG-N.PAG. 43p. |
| مصطلحات موضوعية: |
*DEHN surgery (Topology), *MANIFOLDS (Mathematics), *KLEIN bottles, *KNOT theory, *BRAID theory |
| مستخلص: |
Let K be a hyperbolic knot in the 3 -sphere. If a p / q -Dehn surgery on K produces manifold with an embedded Klein bottle or essential 2 -torus, then we prove that | p | ≤ 8 g K − 3 , where g K is the genus of K. We obtain different upper bounds according to the production of a Klein bottle, a non-separating 2 -torus, or an essential and separating 2 -torus. The well known examples which are the figure eight knot and the pretzel knot K (− 2 , 3 , 7) reach the given upper bounds. We study this problem considering null-homologous hyperbolic knots in compact, orientable and closed 3 -manifolds. [ABSTRACT FROM AUTHOR] |
| قاعدة البيانات: |
Academic Search Index |