Corpus ID: 235731678

Lagrangian Floer theory for trivalent graphs and homological mirror symmetry for curves

  title={Lagrangian Floer theory for trivalent graphs and homological mirror symmetry for curves},
  author={Denis Auroux and Alexander I. Efimov and Ludmil Katzarkov},
Mirror symmetry for higher genus curves is usually formulated and studied in terms of Landau-Ginzburg models; however the critical locus of the superpotential is arguably of greater intrinsic relevance to mirror symmetry than the whole LandauGinzburg model. Accordingly, we propose a new approach to the A-model of the mirror, viewed as a trivalent configuration of rational curves together with some extra data at the nodal points. In this context, we introduce a version of Lagrangian Floer theory… 

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