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

IF 2 1区数学

Geometry & Topology Pub Date : 2018-09-06 DOI:10.2140/gt.2020.24.2547

M. Abouzaid, Sheel Ganatra, H. Iritani, Nick Sheridan

引用次数: 15

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.

查看原文本刊更多论文

伽玛猜想和斯特罗明格-尤-扎斯洛猜想:周期的热带方法

我们提出了一种利用热带几何计算周期渐近性的新方法，其中黎曼ζ值在热带化中自然地作为误差项出现。我们的方法表明伽马类应该如何从斯特罗明格-尤-扎斯洛猜想中产生。我们利用它给出了Batyrev对镜像Calabi-Yau超曲面的Gamma猜想的一个新证明。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

求助全文

约1分钟内获得全文求助全文

来源期刊

Geometry & Topology 数学-数学

自引率

5.00%

发文量

期刊介绍： Geometry and Topology is a fully refereed journal covering all of geometry and topology, broadly understood. G&T is published in electronic and print formats by Mathematical Sciences Publishers. The purpose of Geometry & Topology is the advancement of mathematics. Editors evaluate submitted papers strictly on the basis of scientific merit, without regard to authors" nationality, country of residence, institutional affiliation, sex, ethnic origin, or political views.