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arxiv: 1811.12665 · v1 · pith:KASLZLR3new · submitted 2018-11-30 · 🧮 math.QA · hep-th· math.AG· math.SG

Fukaya categories of two-tori revisited

classification 🧮 math.QA hep-thmath.AGmath.SG
keywords a-infinityfukayaproductsstructurecategoriescategoryconstantsconstruct
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We construct an A-infinity structure of the Fukaya category explicitly for any flat symplectic two-torus. The structure constants of the non-transversal A-infinity products are obtained as derivatives of those of transversal A-infinity products.

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