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Equivariant split generation and mirror symmetry of special isogenous tori

Weiwei Wu

Symplectic Geometry mathscidoc:1912.431050

Advances in Mathematics, 323, 279-325, 2018.1
We prove a version of equivariant split generation of Fukaya category when a symplectic manifold admits a free action of a finite group <i>G</i>. Combining this with some generalizations of Seidel's algebraic frameworks from [35], we obtain new cases of homological mirror symmetry for some symplectic tori with non-split symplectic forms, which we call <i>special isogenous tori</i>. This extends the work of AbouzaidSmith [2]. We also show that derived Fukaya categories are complete invariants of special isogenous tori.
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@inproceedings{weiwei2018equivariant,
  title={Equivariant split generation and mirror symmetry of special isogenous tori},
  author={Weiwei Wu},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191224211531830282614},
  booktitle={Advances in Mathematics},
  volume={323},
  pages={279-325},
  year={2018},
}
Weiwei Wu. Equivariant split generation and mirror symmetry of special isogenous tori. 2018. Vol. 323. In Advances in Mathematics. pp.279-325. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191224211531830282614.
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