三维中$\mathbb{Z}/2$-调和旋量的$S^1$型零轨迹的模空间
微分几何
2020-08-18 v8
摘要
设为紧致有向三维光滑流形。本文构造了一个由对组成的模空间，其中是中的嵌入简单闭曲线，是一个仅在上消失的-调和旋量，且。我们证明当为时，模空间中的一个邻域可局部地由上的黎曼度量空间参数化，作为Fredholm算子的核。
引用
@article{arxiv.1503.00767,
title = {The moduli space of $S^1$-type zero loci for $\mathbb{Z}/2$-harmonic spinors in dimension 3},
author = {Ryosuke Takahashi},
journal= {arXiv preprint arXiv:1503.00767},
year = {2020}
}
备注
17/8/2020 Important correction: In this version we need further regularity for $\Sigma$ now ($\Sigma$ is in C^2). The result is not as strong as the previous version. The current version will appear on Communication in Analysis and Geometry(CAG)