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

@article{TobiasHagge2014,
abstract = {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.},
author = {Tobias Hagge, Jonathan Yazinski},
journal = {Banach Center Publications},
language = {eng},
number = {1},
pages = {101-110},
title = {On the necessity of Reidemeister move 2 for simplifying immersed planar curves},
url = {http://eudml.org/doc/282358},
volume = {103},
year = {2014},
}

TY - JOUR
AU - Tobias Hagge
AU - Jonathan Yazinski
TI - On the necessity of Reidemeister move 2 for simplifying immersed planar curves
JO - Banach Center Publications
PY - 2014
VL - 103
IS - 1
SP - 101
EP - 110
AB - 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.
LA - eng
UR - http://eudml.org/doc/282358
ER -