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

Hansol Hong; Yoosik Kim; Siu-Cheong Lau; Xiao Zheng

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arXiv · 1912.11455

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

Hansol Hong·Yoosik Kim·Siu-Cheong Lau·Xiao Zheng

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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.

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BibTeX RIS

Hansol Hong, Yoosik Kim, Siu-Cheong Lau, Xiao Zheng. 2020-04-16. $T$-equivariant disc potentials for toric Calabi-Yau manifolds. https://arxiv.org/abs/1912.11455

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