A note on the sheet numbers of twist-spun knots
Satoh, Shin
Hiroshima Math. J., Tome 40 (2010) no. 1, p. 1-15 / Harvested from Project Euclid
The sheet number of a $2$-knot is a quantity which reflects the complexity of the knotting in $4$-space. The aim of this note is to determine the sheet numbers of the $2$- and $3$-twist-spun trefoils. For this purpose, we give a lower bound of the sheet number by the quandle cocycle invariant of a $2$-knot, and an upper bound by the crossing number of a $1$-knot.
Publié le : 2010-03-15
Classification:  2-knot,  diagram,  sheet,  triple point,  branch point,  57Q45,  57Q35
@article{1270645079,
     author = {Satoh, Shin},
     title = {A note on the sheet numbers of twist-spun knots},
     journal = {Hiroshima Math. J.},
     volume = {40},
     number = {1},
     year = {2010},
     pages = { 1-15},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1270645079}
}
Satoh, Shin. A note on the sheet numbers of twist-spun knots. Hiroshima Math. J., Tome 40 (2010) no. 1, pp.  1-15. http://gdmltest.u-ga.fr/item/1270645079/