English

Quasimap SYZ for toric Calabi-Yau manifolds

Symplectic Geometry 2019-08-09 v2 Algebraic Geometry Differential Geometry

Abstract

In this note, we study the SYZ mirror construction for a toric Calabi-Yau manifold using instanton corrections coming from Woodward's quasimap Floer theory instead of Fukaya-Oh-Ohta-Ono's Lagrangian Floer theory. We show that the resulting SYZ mirror coincides with the one written down via physical means (as expected).

Keywords

Cite

@article{arxiv.1704.01730,
  title  = {Quasimap SYZ for toric Calabi-Yau manifolds},
  author = {Kwokwai Chan},
  journal= {arXiv preprint arXiv:1704.01730},
  year   = {2019}
}

Comments

v2: 15 pages, 2 figures; to appear in the proceedings of the 7th ICCM (2016) held in Beijing