Equivariant Landau--Ginzburg mirror symmetry
Algebraic Geometry
2019-06-11 v1
Abstract
We give a new proof of the computation of Hodge integrals we have previously obtained for the quantum singularity (FJRW) theory of chain polynomials. It uses the classical localization formula of Atiyah--Bott and we phrase our proof in a general framework that is suitable for future studies of gauged linear sigma models (GLSM). As a by-product, we obtain the first equivariant version of mirror symmetry without concavity, generalizing the work of Chiodo--Iritani--Ruan on the Landau--Ginzburg side.
Keywords
Cite
@article{arxiv.1906.04100,
title = {Equivariant Landau--Ginzburg mirror symmetry},
author = {Jérémy Guéré},
journal= {arXiv preprint arXiv:1906.04100},
year = {2019}
}