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Creators/Authors contains: "Gammage, Benjamin"

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  1. (, Bulletin of the London Mathematical Society)
    Abstract In this note, we explain how mirror symmetry for basic local models in the Gross–Siebert program can be understood through the nontoric blowup construction described by Gross–Hacking–Keel. This is part of a program to understand the symplectic geometry of affine cluster varieties through their SYZ fibrations. 
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  2. (, Advances in Mathematics)
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  3. ; (, Tunisian Journal of Mathematics)
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  4. ; (, Symmetry, Integrability and Geometry: Methods and Applications)
    In the algebraic setting, cluster varieties were reformulated by Gross-Hacking-Keel as log Calabi-Yau varieties admitting a toric model. Building on work of Shende-Treumann-Williams-Zaslow in dimension 2, we describe the mirror to the GHK construction in arbitrary dimension: given a truncated cluster variety, we construct a symplectic manifold and prove homological mirror symmetry for the resulting pair. We also describe how our construction can be obtained from toric geometry, and we relate our construction to various aspects of cluster theory which are known to symplectic geometers. 
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  5. ; (, Transactions of the American Mathematical Society)
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