English

Closed incompressible surfaces in the complements of positive knots

Geometric Topology 2007-05-23 v1

Abstract

We show that any closed incompressible surface in the complement of a positive knot is algebraically non-split from the knot, positive knots cannot bound non-free incompressible Seifert surfaces and that the splitability and the primeness of positive knots and links can be seen from their positive diagrams.

Keywords

Cite

@article{arxiv.math/0104219,
  title  = {Closed incompressible surfaces in the complements of positive knots},
  author = {Makoto Ozawa},
  journal= {arXiv preprint arXiv:math/0104219},
  year   = {2007}
}

Comments

6 pages, 6 figures