A weighted torus algebra

A bordered HF- algebra for the torus

We describe a weighted 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 bordered bordered heegaard floer homology for three-manifolds with torusboundary, which will be constructed in forthcoming work.