A mirror theorem for Gromov-Witten theory without convexity

Abstract

We prove a genus zero Givental-style mirror theorem for all complete intersections in proper toric Deligne-Mumford stacks, which provides an explicit slice called big I-function on Givental's Lagrangian cone for such targets. In particular, we remove a technical assumption called convexity needed in previous quantum Lefschetz theorem.

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