Piotr Stachura
Quantum spaces of lines
I will presents a differential groupoid with ``coaction''
of the groupoid underlying the Quantum Euclidean group (i.e. its $C^*$-algebra is the $C^*$-algebra of this quantum group). The dual of the Lie algebroid is a Poisson manifold that can be identified with the space of oriented lines in Euclidean space equipped with a Poisson action of the Poisson-Lie Euclidean group. Time permitting, I will also present a quantum space of timelike lines in Minkowski space.
Based on arXiv:2411.15977
