The Moduli Space of S1-Type Zero Loci for Z/2 Harmonic Spinors in Dimension 3

DSpace/Manakin Repository

The Moduli Space of S1-Type Zero Loci for Z/2 Harmonic Spinors in Dimension 3

Citable link to this page

 

 
Title: The Moduli Space of S1-Type Zero Loci for Z/2 Harmonic Spinors in Dimension 3
Author: Takahashi, Ryosuke
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.
Full Text & Related Files:
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.
Terms of Use: This article is made available under the terms and conditions applicable to Other Posted Material, as set forth at http://nrs.harvard.edu/urn-3:HUL.InstRepos:dash.current.terms-of-use#LAA
Citable link to this page: http://nrs.harvard.edu/urn-3:HUL.InstRepos:17463144
Downloads of this work:

Show full Dublin Core record

This item appears in the following Collection(s)

 
 

Search DASH


Advanced Search
 
 

Submitters