Mirror symmetry for very affine hypersurfaces

@article{Gammage2017MirrorSF,
  title={Mirror symmetry for very affine hypersurfaces},
  author={Benjamin Gammage and Vivek V. Shende},
  journal={Acta Mathematica},
  year={2017}
}
We show that the category of coherent sheaves on the toric boundary divisor of a smooth quasiprojective DM toric stack is equivalent to the wrapped Fukaya category of a hypersurface in a complex torus. Hypersurfaces with every Newton polytope can be obtained. Our proof has the following ingredients. Using Mikhalkin-Viro patchworking, we compute the skeleton of the hypersurface. The result matches the [FLTZ] skeleton and is naturally realized as a Legendrian in the cosphere bundle of a torus… 
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34 Citations
Background Citations
5
Methods Citations
3
Results Citations
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34 Citations

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Microlocal Category for Weinstein Manifolds via the h-Principle

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