English

Knots with infinitely many incompressible Seifert surfaces

Geometric Topology 2007-05-23 v2

Abstract

We show that a knot in S3S^3 with an infinite number of distinct incompressible Seifert surfaces contains a closed incompressible surface in its complement.

Keywords

Cite

@article{arxiv.math/0604001,
  title  = {Knots with infinitely many incompressible Seifert surfaces},
  author = {Robin T. Wilson},
  journal= {arXiv preprint arXiv:math/0604001},
  year   = {2007}
}

Comments

16 pages, 6 figures

R2 v1 2026-07-22T17:33:36.966Z