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

MOHAMMED ABOUZAID, Sheel Ganatra, HIROSHI IRITANI, Nick Sheridan

Research output: Contribution to journalArticlepeer-review

Abstract

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.
Original languageEnglish
Number of pages42
JournalGeometry and Topology
Publication statusAccepted/In press - 26 Nov 2019

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