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arxiv: 1004.3620 · v1 · submitted 2010-04-21 · 🧮 math.AG · math.SG

Dimer models and homological mirror symmetry for triangles

classification 🧮 math.AG math.SG
keywords dimerhomologicalmirrormodelsstackssymmetrycoamoebasconjecture
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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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