國立清華大學 數學系

Abstract Let $M$ be a closed oriented 3 manifold. The moduli space of $\mathbb{Z}/2$-harmonic spinors consists of all $(g,\psi,\Sigma)$ where $g$ is a Riemannian metric, $\psi$ is a harmonic spinor of a $\mathbb{Z}/2$-spinor bundle defined on $M-\Sigma$ and $\Sigma$ is a $C^1$-embedding circle. In this talk, I will introduce the background motivation for the study of this moduli space. Then I will explain two theorems I proved and show how these theorems help us to understand $\mathbb{Z}/2$-harmonic spinors.