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2020 The Gamma and Strominger–Yau–Zaslow conjectures: a tropical approach to periods
Mohammed Abouzaid, Sheel Ganatra, Hiroshi Iritani, Nick Sheridan
Geom. Topol. 24(5): 2547-2602 (2020). DOI: 10.2140/gt.2020.24.2547

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.

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Mohammed Abouzaid. Sheel Ganatra. Hiroshi Iritani. Nick Sheridan. "The Gamma and Strominger–Yau–Zaslow conjectures: a tropical approach to periods." Geom. Topol. 24 (5) 2547 - 2602, 2020. https://doi.org/10.2140/gt.2020.24.2547

Information

Received: 26 February 2019; Revised: 28 October 2019; Accepted: 26 November 2019; Published: 2020
First available in Project Euclid: 5 January 2021

MathSciNet: MR4194298
Digital Object Identifier: 10.2140/gt.2020.24.2547

Subjects:
Primary: 53D37
Secondary: 11G42, 14J33, 14T05, 32G20

Rights: Copyright © 2020 Mathematical Sciences Publishers

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Vol.24 • No. 5 • 2020
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