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.

Results strengthened to all complete intersections and big I-functions. Comments are very welcome!

References in corpus (3)

• A mirror theorem for genus two Gromov-Witten invariants of quintic threefolds
• Higher-genus wall-crossing in the gauged linear sigma model
• Quantum Lefschetz theorem revisited