JournalscmhVol. 77, No. 2pp. 235–243

Closed incompressible surfaces in the complements of positive knots

  • M. Ozawa

    Waseda University, Tokyo, Japan
Closed incompressible surfaces in the complements of positive knots cover
Download PDF

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 splittability and the primeness of positive knots and links can be seen from their positive diagrams.

Cite this article

M. Ozawa, Closed incompressible surfaces in the complements of positive knots. Comment. Math. Helv. 77 (2002), no. 2, pp. 235–243

DOI 10.1007/S00014-002-8338-Y