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arXiv · 2004.10366

Cyclic group actions on Fukaya categories and mirror symmetry

Chi Hong Chow·Naichung Conan Leung
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Abstract

Let $(X,\omega)$ be a compact symplectic manifold whose first Chern class $c_1(X)$ is divisible by a positive integer $n$. We construct a $\mathbb{Z}_{2n}$-action on its Fukaya category $Fuk(X)$ and a $\mathbb{Z}_n$-action on the local models of its moduli of Lagrangian branes. We show that this action is compatible with the gluing functions for different local models.

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Chi Hong Chow, Naichung Conan Leung. 2020-04-22. Cyclic group actions on Fukaya categories and mirror symmetry. https://arxiv.org/abs/2004.10366

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