Shift operators and toric mirror theorem
Algebraic Geometry
2017-02-14 v2 Symplectic Geometry
Abstract
We give a new proof of Givental's mirror theorem for toric manifolds using shift operators of equivariant parameters. The proof is almost tautological: it gives an A-model construction of the I-function and the mirror map. It also works for non-compact or non-semipositive toric manifolds.
Cite
@article{arxiv.1411.6840,
title = {Shift operators and toric mirror theorem},
author = {Hiroshi Iritani},
journal= {arXiv preprint arXiv:1411.6840},
year = {2017}
}
Comments
24 pages, v2: I corrected a mistake in the differential equation for Upsilon; proof simplified a little