Some examples of family Floer mirrors

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Lin, Yu-Shen
Cheung, Man-Wai
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Y.-.S. Lin, M.-.W. Cheung. "Some Examples of Family Floer Mirrors."
Abstract
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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This version of the work is distributed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0) license. Add to end of citation: https://arxiv.org/abs/2101.07079