Dimer models and homological mirror symmetry for triangles

Mathematics – Algebraic Geometry

Scientific paper

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9 pages, 7 figures

Scientific paper

We prove a conjecture on the relation between dimer models, coamoebas and
vanishing cycles for the mirrors of two-dimensional toric Fano stacks of Picard
number one. As a corollary, we obtain a torus-equivariant version of
homological mirror symmetry for such stacks.

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