35 citations · 61 across the 5 of their papers we have counts for
6 papers
Distance and intersection number in the curve graph of a surface
Joan S. Birman, Matthew J. Morse, Nancy C. Wrinkle
In this work, we study the cellular decomposition of induced by a filling pair of curves and , , and its connection to the distance functi…
Some Ropelength-Critical Clasps
John M. Sullivan, Nancy C. Wrinkle
We describe several configurations of clasped ropes which are balanced and thus critical for the Gehring ropelength problem of arXiv:math.DG/0402212.
Criticality for the Gehring link problem
Jason Cantarella, Joseph H G Fu, Rob Kusner +2
In 1974, Gehring posed the problem of minimizing the length of two linked curves separated by unit distance. This constraint can be viewed as a measure of thickness for links, and…
The Markov Theorem for transverse knots
Nancy C. Wrinkle
A transverse knot is a knot that is transverse to the planes of the standard contact structure on real 3-space. In this paper we prove the Markov Theorem for transverse braids, whi…
On transversally simple knots
Joan S. Birman, Nancy C. Wrinkle
Final revision. To appear in the Journal of Differential Geometry. This paper studies knots that are transversal to the standard contact structure in , bringing technique…
Holonomic and Legendrian parametrizations of knots
Joan S. Birman, Nancy C. Wrinkle
Let be a generic map. We may use to define a new map by , and if is an embedding then the image of…