Mirror Theorem for Elliptic Quasimap Invariants
Algebraic Geometry
2018-03-28 v3 Symplectic Geometry
Abstract
We propose and prove a mirror theorem for the elliptic quasimap invariants for smooth Calabi-Yau complete intersections in projective spaces. The theorem combined with the wall-crossing formula appeared in paper (arXiv:1308.6377) implies mirror theorems of Zinger and Popa for the elliptic Gromov-Witten invariants for those varieties. This paper and the wall-crossing formula provide a unified framework for the mirror theory of rational and elliptic Gromov-Witten invariants.
Cite
@article{arxiv.1506.03196,
title = {Mirror Theorem for Elliptic Quasimap Invariants},
author = {Bumsig Kim and Hyenho Lho},
journal= {arXiv preprint arXiv:1506.03196},
year = {2018}
}
Comments
Theorem 2.6 strengthened for the toric setup