Final Activity Report Summary - COMBIKNOT (Combinatorial knot theory)
% One major piece of work in this project was the development of techniques to handle the information originating from a controlled series of curve views, known as one-parameter knot theory, rather than from a standard single view. This was reported in the joint papers with Fiedler, and was used for further work by the time of the project completion.
The project also developed algebraic techniques to simplify the analysis of combinatorial data arising in related areas. These included work on three-page embeddings of graphs, Gauss diagrams for links and link groups. Further algebraic results were achieved in establishing a compressed version of the Baker-Campbell-Hausdorff formula for Lie algebras.