On the crossing number of 2-bridge knot and the canonical genus of its Whitehead double

Nakamura, Takuji

Osaka J. Math., Tome 43 (2006) no. 2, p. 609-623 / Harvested from Project Euclid

Résumé

By using Morton's inequality we study the canonical genus of a Whitehead double of a knot. We show that the crossing number of a 2-bridge knot coincides with the canonical genus of its Whitehead double.

Publié le : 2006-09-14
Classification: 57M25

@article{1159190004,
     author = {Nakamura, Takuji},
     title = {On the crossing number of 2-bridge knot and the canonical genus of its Whitehead double},
     journal = {Osaka J. Math.},
     volume = {43},
     number = {2},
     year = {2006},
     pages = { 609-623},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1159190004}
}

Nakamura, Takuji. On the crossing number of 2-bridge knot and the canonical genus of its Whitehead double. Osaka J. Math., Tome 43 (2006) no. 2, pp.  609-623. http://gdmltest.u-ga.fr/item/1159190004/