A mirror theorem for Gromov-Witten theory without convexity

Fuente: arXiv
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Main Author: Wang, Jun
Format: Preprint
Published: 2019
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_version_ 1866916689208147968
author Wang, Jun
author_facet Wang, Jun
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_1910_14440
institution arXiv
publishDate 2019
record_format arxiv
spellingShingle A mirror theorem for Gromov-Witten theory without convexity
Wang, Jun
Algebraic Geometry
14D20, 14D23, 14N35
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.
title A mirror theorem for Gromov-Witten theory without convexity
topic Algebraic Geometry
14D20, 14D23, 14N35
url https://arxiv.org/abs/1910.14440