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Some examples of family Floer mirrors

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Some examples of family Floer mirrors Lin, Yu-Shen; Cheung, Man-Wai In this article, we give explicit calculations for the family Floer mirrors of some non-compact Calabi- Yau surfaces. We compare it with the mirror construction of Gross-Hacking-Keel-Siebert for suitably chosen log Calabi-Yau pairs and the rank two cluster varieties of  nite type. In particular, the analytifications of the later two give partial compactifications of the family Floer mirrors that we computed.

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