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    - mirror symmetry
- A_infty categories
- homological mirror symmetry
- Heegard-Floer homology
- integrable system
- symplectic field theory
- Massey product
 
Fukaya category
      Categorifies Lagrangian Floer homology.  
  
    
A warning about the A_infty products:
       
    
      Idea:  
    
       
    
       
    
      Relation to homological mirror symmetry using Hochschild homology of derived categories:  
    
Description of a certain wrapped Fukaya category \({\mathcal{O}}\): take the objects to be Lagrangian embedded curves, the morphisms are the graded abelian groups \(\hom_{\mathcal{O}}\coloneqq\qty{\bigoplus_{L_0 \pitchfork L_1} {\mathbf{Z}}/2{\mathbf{Z}}, {{\partial}}}\) wher \({{\partial}}\) is given by counting holomorphic strips, localize along small isotopies.
       
  
  
    
Wrapped Fukaya
      
 
  
    
