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

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.

arXiv commentv_2, 48 pages, 9 figures, minor revision

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• On the Complex Affine Structures of SYZ Fibration of Del Pezzo Surfaces