4 problems
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The period conjecture for Laurent polynomials
Let be Laurent polynomials in two variables, and let … and similarly for denote their classical periods. Two Laurent polynomials are mutation equivalent if a co…
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Mutation equivalence of consistent dimer models with the same lattice polygon
Mutation-equivalence conjecture. All consistent dimer models associated with the same lattice polygon are mutation equivalent.
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The uniqueness of consistent dimer models up to mutation
Uniqueness up to mutation. All consistent dimer models are transformed into each other by mutations of dimer models; consequently, a deformation of a consistent dimer model is dete…
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The qG-deformation–mutation correspondence for class TG Fano manifolds
qG-deformation–mutation correspondence. There is a bijection between qG-deformation equivalence classes of class TG Fano manifolds and mutation equivalence classes of Fano polytope…