Slice and Gordian numbers of track knots

Baader, Sebastian

Osaka J. Math., Tome 42 (2005) no. 1, p. 257-271 / Harvested from Project Euclid

Résumé

We present a class of knots associated with labelled generic immersions of intervals into the plane and compute their Gordian numbers and 4-dimensional invariants. At least 10\,\% of the knots in Rolfsen's table belong to this class of knots. We call them track knots. They are contained in the class of quasipositive knots. In this connection, we classify quasipositive knots and strongly quasipositive knots up to ten crossings.

Publié le : 2005-03-14
Classification:

@article{1153494326,
     author = {Baader, Sebastian},
     title = {Slice and Gordian numbers of track knots},
     journal = {Osaka J. Math.},
     volume = {42},
     number = {1},
     year = {2005},
     pages = { 257-271},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1153494326}
}

Baader, Sebastian. Slice and Gordian numbers of track knots. Osaka J. Math., Tome 42 (2005) no. 1, pp.  257-271. http://gdmltest.u-ga.fr/item/1153494326/