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Nontrivial embeddings of polygonal intervals and unknots in 3-space
by
Heather Johnston
Rutgers University
Coauthors: Jason Cantarella
We consider embedding classes of polygonal intervals and circles with fixed edge lengths. We classify all embeddings of polygonal lines of five segments, finding that this space has three connected components for suitable edge lengths. We then construct a class of ``stuck'' unknotted hexagons, which cannot be deformed to the standard unknotted hexagon. The edge lengths of our examples are not equal.
Date received: February 13, 1998
Copyright © 1998 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # caas-73.