HIGHER-GENUS WALL-CROSSING IN THE GAUGED LINEAR SIGMA MODEL

摘要

We introduce a technique for proving all-genus wall-crossing formulas in the gauged linear sigma model as the stability parameter varies, without assuming factorization properties of the virtual class.Implementing this technique to the gauged linear sigma model associated to a complete intersection in weighted projective space, we obtain a uniform proof of the wall-crossing formula in both the geometric and the Landau-Ginzburg phase.