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  1. ; ; (, Journal of Symplectic Geometry)
    Auroux, Denis; Biran, Paul; Donaldson, Simon; Mrowka, Tomasz (Ed.)
    We describe a weighted A-infinity algebra associated to the torus. We give a combinatorial construction of this algebra, and an abstract characterization. The abstract characterization also gives a relationship between our algebra and the wrapped Fukaya category of the torus. These algebras underpin the (unspecialized) bordered Heegaard Floer homology for three-manifolds with torus boundary, which will be constructed in forthcoming work. 
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    Free, publicly-accessible full text available January 1, 2026