Wall-Crossing in genus zero Landau-Ginzburg theory
Fan-Jarvis-Ruan-Witten theory is the study of certain intersection numbers on moduli spaces of spin curves defined by capping psi classes against the Witten class. By allowing the orbifold points in these moduli spaces to be weighted (in the sense of Hassett), one obtains a family of moduli spaces of weighted spin curves with a natural wall and chamber structure. In genus zero, we show that the weighted analog of the FJRW invariants satisfy a natural wall-crossing formula as we vary weights, and in particular we show that the wall-crossing formula generalizes the mirror theorem of Chiodo, Iritani, and Ruan.