The projections of n-knots which are not the projection of any unknotted knot
Ogasa, Eiji
arXiv, 0003088 / Harvested from arXiv
Text on arXiv
Let n be any integer greater than two. We prove that there exists a projection P having the following properties. (1) P is not the projection of any unknotted knot. (2) The singular point set of P consists of double points. (3) P is the projection of an n-knot which is diffeomorphic to the standard sphere. We prove there exists an immersed n-sphere (in R^{n+1}\times{0}) which is not the projection of any n-knot (n>2). Note that the second theorem is different from the first one.
Publié le : 2000-03-15
Classification:  Mathematics - Geometric Topology,  Mathematical Physics,  57M25, 57Q45 
@article{0003088,
     author = {Ogasa, Eiji},
     title = {The projections of n-knots which are not the projection of any unknotted
  knot},
     journal = {arXiv},
     volume = {2000},
     number = {0},
     year = {2000},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0003088}
}

Ogasa, Eiji. The projections of n-knots which are not the projection of any unknotted
  knot. arXiv, Tome 2000 (2000) no. 0, . http://gdmltest.u-ga.fr/item/0003088/