On transversally simple knots

  title={On transversally simple knots},
  author={Joan S. Birman},
This paper studies knots that are transversal to the standard contact structure in IR, bringing techniques from topological knot theory to bear on their transversal classification. We say that a transversal knot type T K is transversally simple if it is determined by its topological knot type K and its Bennequin number. The main theorem asserts that any T K whose associated K satisfies a condition that we call exchange reducibility is transversally simple. As applications, we give a new proof… CONTINUE READING


Publications referenced by this paper.
Showing 1-10 of 17 references

Thèse de Doctorat d’Etat

  • D. Bennequin, Entrelacements et équations de Pfaff
  • Université de Paris VII, 24 novembre
  • 1982
Highly Influential
7 Excerpts

Holonomic links and Smale principles for multisingularities

  • V. Vassiliev
  • J. Knot Theory Ramifications
  • 1997

Menasco, Special positions for essential tori in link complements, Topology

  • W.J.S. Birman
  • See also Erratum, Topology,
  • 1994

A small state sum for

  • T. Fiedler
  • knots, Topology,
  • 1993

Menasco , Studying links via closed braids III : Classifying links which are closed 3braids

  • W.
  • Pacific J . Math .
  • 1993

Menasco , Studying links via closed braids V : The unlink

  • J. S. Birman, W.
  • Trans . Amer . Math . Soc .
  • 1992

Similar Papers

Loading similar papers…