Taubes, Clifford H.Yau, Shing-TungKronheimer, Peter B.Takahashi, Ryosuke2015-07-172015-052015-05-172015Takahashi, Ryosuke. 2015. The Moduli Space of S1-Type Zero Loci for Z/2 Harmonic Spinors in Dimension 3. Doctoral dissertation, Harvard University, Graduate School of Arts & Sciences.http://nrs.harvard.edu/urn-3:HUL.InstRepos:17463144Let M be a compact oriented 3-dimensional smooth manifold. In this paper, we will construct a moduli space consisting of the following date {(Σ,ψ)} where Σ is a C1-embedding S1 curve in M, ψ is a Z/2-harmonic spinor vanishing only on Σ and kψkL21 = 1. We will prove that this moduli space can be parametrized by the space X = { all Riemannian metrics on M } locally as the kernel of a Fredholm operator.application/pdfenMathematicsThesis or Dissertation2015-07-17