English

$T$-equivariant disc potentials for toric Calabi-Yau manifolds

Symplectic Geometry 2020-04-17 v2

Abstract

We study the equivariant disc potentials for immersed SYZ fibers in toric Calabi-Yau manifolds. The immersed Lagrangians play a crucial role in the partial compactification of the SYZ mirrors. Morever, their equivariant disc potentials have a close relation with that of Aganagic-Vafa branes. We show that the potentials can be computed by using an equivariant version of isomorphisms in the Fukaya category.

Keywords

Cite

@article{arxiv.1912.11455,
  title  = {$T$-equivariant disc potentials for toric Calabi-Yau manifolds},
  author = {Hansol Hong and Yoosik Kim and Siu-Cheong Lau and Xiao Zheng},
  journal= {arXiv preprint arXiv:1912.11455},
  year   = {2020}
}

Comments

v_2, 48 pages, 9 figures, minor revision