In A Nutshell When two different types of cosmic strings become linked in the early universe, they form stable knots that ...

Knot theory, a branch of topology dedicated to the study of embeddings of circles in three-dimensional space, intersects deeply with homotopy theory—the study of continuous deformations between ...

Using computational predictive models, the scientists identified a shortlist, a kind of 'periodic table', of the most designable knot types, i.e. those knots that could easily self-assemble under ...

We show that every knot type admits a pair of diagrams that cannot be made identical without using Reidemeister $\Omega_{2}-moves$. The proof is compatible with known results for the other move types, ...

Consider a short piece of rope: could you guess which knots are more likely to form if you crumple and shake it? Synthetic chemists have long been working on a molecular version of this problem and, ...