Cut‐and‐join operators for higher Weil–Petersson volumes

Abstract In this paper, we construct the cut‐and‐join operator description for generating functions of all intersection numbers , and classes on moduli spaces . The operators define an algebraic version topological recursion. This recursion allows us to compute these recursively. For specific values parameters, describe volumes (super) hyperbolic Riemann surfaces with geodesic boundaries, which are also related Jackiw–Teitelboim (JT) (super)gravity.