Families of elliptic curves over the four-pointed configuration space and exceptional sequences for the braid group on four strands

William Y. Chen, Nick Salter

We show that the configuration space of four unordered points in $\mathbb{C}$ with barycenter 0 is isomorphic to the space of triples $(E,Q,\omega )$, where $E$ is an elliptic curve, $Q\…