Intersection numbers with Pixton's class and the noncommutative KdV hierarchy

Alexandr Buryak, Paolo Rossi

The Pixton class is a nonhomogeneous cohomology class on the moduli space of stable curves ${\overline{\mathcal{M}}}_{g,n}$, with nontrivial terms in degree $0,2,4,\dots ,2g$, whose…