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A bordered HF- algebra for the torus

125   0   0.0 ( 0 )
 Added by Dylan Thurston
 Publication date 2021
  fields
and research's language is English




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We describe a weighted $A_infty$-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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