关于调和Z_2旋量的存在性

IF 1.3 1区数学 Q1 MATHEMATICS

Journal of Differential Geometry Pub Date : 2021-03-01 DOI:10.4310/JDG/1615487003

Aleksander Doan, Thomas Walpuski

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引用次数: 4

摘要

证明了具有b1 bbb1的3 -流形上奇异调和Z2旋子的存在性。该证明依赖于具有两个旋量的Seiberg-Witten方程解的过壁公式。奇异调和Z2旋子的存在和我们的过壁公式的形状为Joyce [Joy17]最近对Donaldson和Segal计算g2 -瞬子[DS11]的建议所做的观察提供了新的启示。

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On the existence of harmonic $Z_2$ spinors

We prove the existence of singular harmonic Z2 spinors on 3–manifolds with b1 > 1. The proof relies on a wall-crossing formula for solutions to the Seiberg–Witten equation with two spinors. The existence of singular harmonic Z2 spinors and the shape of our wall-crossing formula shed new light on recent observations made by Joyce [Joy17] regarding Donaldson and Segal’s proposal for counting G2–instantons [DS11].

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来源期刊

Journal of Differential Geometry 数学-数学

CiteScore

3.40

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Publishes the latest research in differential geometry and related areas of differential equations, mathematical physics, algebraic geometry, and geometric topology.