On the necessity of Reidemeister move 2 for simplifying immersed planar curves

• Autorzy: Tobias Hagge , Jonathan Yazinski
• Języki publikacji: EN

Abstrakty

EN

In 2001, motivated by his results on finite-type knot diagram invariants, Östlund conjectured that Reidemeister moves 1 and 3 are sufficient to describe a homotopy from any generic immersion S¹ → ℝ² to the standard embedding of the circle. We show that this conjecture is false.

Kategorie tematyczne

• 14H50: Plane and space curves

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 2014
• Tom: 103
• Numer: 1
• Strony: 101-110

Daty

wydano

2014

Twórcy

autor

Tobias Hagge

• The University of Texas at Dallas, FO 35, 800 West Campbell Rd, Richardson, TX 75080, USA

autor

Jonathan Yazinski

• Department of Mathematics, College of William & Mary, P.O. Box 8795, Williamsburg, VA 23187-8795, USA

Identyfikatory

DOI

10.4064/bc103-0-4