English

A mirror theorem for Gromov-Witten theory without convexity

Algebraic Geometry 2025-04-16 v2

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 II-function on Givental's Lagrangian cone for such targets. In particular, we remove a technical assumption called convexity needed in previous quantum Lefschetz theorem.

Keywords

Cite

@article{arxiv.1910.14440,
  title  = {A mirror theorem for Gromov-Witten theory without convexity},
  author = {Jun Wang},
  journal= {arXiv preprint arXiv:1910.14440},
  year   = {2025}
}

Comments

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