Nancy C. Wrinkle

activity

19982004

collaborators

4 papers

math.DG2004

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.

math.GT2002

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…

math.GT1999

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 $R^{3}$ , bringing technique…

math.GT1998

Holonomic and Legendrian parametrizations of knots

Joan S. Birman, Nancy C. Wrinkle

Let $f : S^{1} \to R$ be a generic map. We may use $f$ to define a new map $f ~ : S^{1} \to R^{3}$ by $f ~ (t) = (- f (t), f^{'} (t), - f^{''} (t))$ , and if $f$ is an embedding then the image of…