A Mathematical Webservice for Recognizing the Unknot

in: Proc. of the International Congress on Mathematical Software, A. Cohen, X. Gao, N. Takayama (Eds.), World-Scientific (2002).

Maria V. Andreeva, Ivan A. Dynnikov and Konrad Polthier


In this paper we present the implementation of a partial knot recognition algorithm as a mathematical web service on the internet. Knots may interactively be loaded and edited, and then checked for being unknotted. We use the approach by Dynnikov, which is based on a combinatorial representation of knots in a three-page book, and we use JavaView as visualization environment.

Full Preprint:  (.pdf 222 KB, .ps.zip 267 KB)