dc.contributor.advisor | Taubes, Clifford H. | en_US |
dc.contributor.advisor | Yau, Shing-Tung | en_US |
dc.contributor.advisor | Kronheimer, Peter B. | en_US |
dc.contributor.author | Takahashi, Ryosuke | en_US |
dc.date.accessioned | 2015-07-17T15:34:15Z | |
dc.date.created | 2015-05 | en_US |
dc.date.issued | 2015-05-17 | en_US |
dc.date.submitted | 2015 | en_US |
dc.identifier.citation | Takahashi, 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. | en_US |
dc.identifier.uri | http://nrs.harvard.edu/urn-3:HUL.InstRepos:17463144 | |
dc.description.abstract | Let 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. | en_US |
dc.description.sponsorship | Mathematics | en_US |
dc.format.mimetype | application/pdf | en_US |
dc.language.iso | en | en_US |
dash.license | LAA | en_US |
dc.subject | Mathematics | en_US |
dc.title | The Moduli Space of S1-Type Zero Loci for Z/2 Harmonic Spinors in Dimension 3 | en_US |
dc.type | Thesis or Dissertation | en_US |
dash.depositing.author | Takahashi, Ryosuke | en_US |
dc.date.available | 2015-07-17T15:34:15Z | |
thesis.degree.date | 2015 | en_US |
thesis.degree.grantor | Graduate School of Arts & Sciences | en_US |
thesis.degree.level | Doctoral | en_US |
thesis.degree.name | Doctor of Philosophy | en_US |
dc.type.material | text | en_US |
thesis.degree.department | Mathematics | en_US |
dash.identifier.vireo | http://etds.lib.harvard.edu/gsas/admin/view/86 | en_US |
dc.description.keywords | harmonic spinor, moduli space, 3-manifolds. | en_US |
dash.author.email | tryotriple@gmail.com | en_US |
dash.identifier.drs | urn-3:HUL.DRS.OBJECT:25163729 | en_US |
dash.contributor.affiliated | Takahashi, Ryosuke | |