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

@inproceedings{Auroux2021LagrangianFT, title={Lagrangian Floer theory for trivalent graphs and homological mirror symmetry for curves}, author={Denis Auroux and Alexander I. Efimov and Ludmil Katzarkov}, year={2021} }

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… Expand

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