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The Gamma and Strominger-Yau-Zaslow conjectures: a tropical approach to periods

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arxiv 1809.02177 v3 pith:LXJJQ5MB submitted 2018-09-06 math.AG math.SG

Mohammed Abouzaid , Sheel Ganatra , Hiroshi Iritani , Nick Sheridan This is my paper · ORCID
classification math.AGmath.SG
keywords gammaconjecturemethodperiodsstrominger-yau-zaslowtropicalappearapproach
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We propose a new method to compute asymptotics of periods using tropical geometry, in which the Riemann zeta values appear naturally as error terms in tropicalization. Our method suggests how the Gamma class should arise from the Strominger-Yau-Zaslow conjecture. We use it to give a new proof of (a version of) the Gamma Conjecture for Batyrev pairs of mirror Calabi-Yau hypersurfaces.

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  1. Advancements in Functorial Homological Mirror Symmetry

    hep-th 2025-02 reject novelty 4.0 of 10

    A programmatic review asserting that stability and transversality in Donaldson-Thomas degeneracy formulas correspond to abelian versus nonabelian gauging in Rozansky-Witten theory, without providing a derivation.

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