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arXiv · 1501.06257

Equivariant split generation and mirror symmetry of special isogenous tori

Weiwei Wu
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Abstract

We prove a version of equivariant split generation of Fukaya category when a symplectic manifold admits a free action of a finite group $G$. Combining this with some generalizations of Seidel's algebraic frameworks from Seidel's book, we obtain new cases of homological mirror symmetry for some symplectic tori with non-split symplectic forms, which we call \textit{special isogenous tori}. This extends the work of Abouzaid-Smith. We also show that derived Fukaya categories are complete invariants of special isogenous tori.

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Weiwei Wu. 2015-01-26. Equivariant split generation and mirror symmetry of special isogenous tori. https://arxiv.org/abs/1501.06257

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