Higher-genus quasimap wall-crossing via localization

Abstract

We give a new proof of Ciocan-Fontanine and Kim's wall-crossing formula relating the virtual classes of the moduli spaces of $\hat{I}\mu$-stable quasimaps for different $\hat{I}\mu$ in any genus, whenever the target is a complete intersection in projective space and there is at least one marked point. Our techniques involve a twisted graph space, which we expect to generalize to yield wall-crossing formulas for general gauged linear sigma models.

26 pages, v2 agrees with published version