Skip to main content
SpringerLink
Log in

Closed incompressible surfaces in the complements of positive knots

  • Published:
Commentarii Mathematici Helvetici

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.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

Author information

Authors and Affiliations

  1. Waseda University, School of Education, Department of Mathematics, Nishiwaseda 1-6-1, Shinjuku-ku, Tokyo 169-8050, Japan, e-mail: ozawa@musubime.com , , , , , , JP

    M. Ozawa

Authors
  1. M. Ozawa
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Received: June 28, 2000

Rights and permissions

Reprints and permissions

About this article

Cite this article

Ozawa, M. Closed incompressible surfaces in the complements of positive knots. Comment. Math. Helv. 77, 235–243 (2002). https://doi.org/10.1007/s00014-002-8338-y

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00014-002-8338-y

Search

Navigation