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- W1969444328 abstract "Given a ribbon graph $$Gamma $$ with some extra structure, we define, using constructible sheaves, a dg category $$mathrm {CPM}(Gamma )$$ meant to model the Fukaya category of a Riemann surface in the cell of Teichmüller space described by $$Gamma .$$ When $$Gamma $$ is appropriately decorated and admits a combinatorial “torus fibration with section,” we construct from $$Gamma $$ a one-dimensional algebraic stack $$widetilde{X}_Gamma $$ with toric components. We prove that our model is equivalent to $$mathcal {P}mathrm {erf}(widetilde{X}_Gamma )$$ , the dg category of perfect complexes on $$widetilde{X}_Gamma $$ ." @default.
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- W1969444328 date "2014-03-28" @default.
- W1969444328 modified "2023-10-11" @default.
- W1969444328 title "Ribbon graphs and mirror symmetry" @default.
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- W1969444328 doi "https://doi.org/10.1007/s00029-014-0149-7" @default.
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