Quasimap SYZ for toric Calabi-Yau manifolds

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).

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

References in corpus (2)

• Mirror symmetry and T-duality in the complement of an anticanonical divisor
• Canonical Coordinates in Toric Degenerations

Cited by in corpus (1)

• An open quantum Kirwan map