Current affiliation: Ben-Gurion University of the NegevSubject: MathematicsPrimary location: Israel
Published in:Algebraic & Geometric TopologyPublication date:2006-05-24
We consider equivalence classes of 3-coloured knots and of 5-coloured knots under colour -preserving Dehn surgery. We show that the equivalence cla...
Published in:Algebraic & Geometric TopologyPublication date:2009-07-05
Published in:Journal of Combinatorial Theory Series APublication date:2007-07-01
As the title says, we prove that a certain space of diagrams vanishes. This shows that there are no Vassiliev invariants (finite type invariants) w...
Published in:Proceedings of the 8th International Conference on Bio-inspired Information and Communications Technologies (formerly BIONETICS)Publication date:2015-01-01
A network of information fusion can be drawn as a coloured, decorated tangle
(of string?) rather than as a labeled directed graph. The information ...
Published in:Proceedings of The Royal Society A Mathematical Physical and Engineering SciencesPublication date:2015-06-24
Whereas most people communicate with words and sentences, the ancient Incas communicated with quipus or "talking knots".
But how much, in fact, can...
Published in:SymmetryPublication date:2015-07-20
We show how coloured tangles and related objects may serve as computers, and we discuss the computational power of such a model.