publication . Preprint . Article . 1997

On two-generator satellite knots

Steven A. Bleiler; Amelia C. Jones;
Open Access English
  • Published: 13 Mar 1997
Abstract
Techniques are introduced which determine the geometric structure of non-simple two-generator $3$-manifolds from purely algebraic data. As an application, the satellite knots in the $3$-sphere with a two-generator presentation in which at least one generator is represented by a meridian for the knot are classified.
Persistent Identifiers
Subjects
arXiv: Mathematics::Geometric Topology
free text keywords: Mathematics - Geometric Topology, Differential geometry, Algebraic number, Hyperbolic geometry, Knot (unit), Algebraic geometry, Projective geometry, Algebra, Mathematics, Satellite, Meridian (astronomy)
Related Organizations
Funded by
NSF| Mathematical Sciences Research Institute
Project
  • Funder: National Science Foundation (NSF)
  • Project Code: 9022140
  • Funding stream: Directorate for Mathematical & Physical Sciences | Division of Mathematical Sciences

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Steven A. Bleiler, Mathematics Department, Portland State University, Portland, OR 97207 E-mail address: steve@math.pdx.edu

Amelia C. Jones, Mathematics Department, Vassar College, Poughkeepsie, NY, 12601 E-mail address: amjones@vassar.edu

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