When does a satellite knot fiber?
Hirasawa, Mikami ; Murasugi, Kunio ; Silver, Daniel S.
Hiroshima Math. J., Tome 38 (2008) no. 1, p. 411-423 / Harvested from Project Euclid
Text on Project Euclid
PDF
Alt PDF
Necessary and sufficient conditions are given for a satellite knot to be fibered. Any knot $\tilde k$ embeds in an unknotted solid torus $\tilde V$ with arbitrary winding number in such a way that no satellite knot with pattern $(\tilde V, \tilde k)$ is fibered. In particular, there exist nonfibered satellite knots with fibered pattern and companion knots and nonzero winding number.
Publié le : 2008-11-15
Classification:  Satellite knot,  fibered knot,  57M25 
@article{1233152778,
     author = {Hirasawa, Mikami and Murasugi, Kunio and Silver, Daniel S.},
     title = {When does a satellite knot fiber?},
     journal = {Hiroshima Math. J.},
     volume = {38},
     number = {1},
     year = {2008},
     pages = { 411-423},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1233152778}
}

Hirasawa, Mikami; Murasugi, Kunio; Silver, Daniel S. When does a satellite knot fiber?. Hiroshima Math. J., Tome 38 (2008) no. 1, pp.  411-423. http://gdmltest.u-ga.fr/item/1233152778/