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arxiv: 0801.2014 · v2 · submitted 2008-01-14 · 🧮 math.AG · math.CT· math.SG

Meet homological mirror symmetry

classification 🧮 math.AG math.CTmath.SG
keywords mirrorsymmetryhomologicalaspectsbackgroundcasesclosecurrent
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In this paper, we introduce the interested reader to homological mirror symmetry. After recalling a little background knowledge, we tackle the simplest cases of homological mirror symmetry: curves of genus zero and one. We close by outlining the current state of the field and mentioning what homo- logical mirror symmetry has to say about other aspects of mirror symmetry.

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