[-] Show simple item record

dc.contributor.advisorWang, Shuguang, Ph. D.eng
dc.contributor.authorLee, Jaewon, 1974-eng
dc.date.issued2009eng
dc.date.submitted2009 Summereng
dc.descriptionTitle from PDF of title page (University of Missouri--Columbia, viewed on September 20, 2010).eng
dc.descriptionThe entire thesis text is included in the research.pdf file; the official abstract appears in the short.pdf file; a non-technical public abstract appears in the public.pdf file.eng
dc.descriptionDissertation advisor: Dr. Shuguang Wang.eng
dc.descriptionVita.eng
dc.descriptionPh. D. University of Missouri--Columbia 2009.eng
dc.description.abstract[ACCESS RESTRICTED TO THE UNIVERSITY OF MISSOURI AT REQUEST OF AUTHOR.] This work is devoted to the study of Seiberg-Witten theory for three dimensional manifolds in the presence of involutions. G. Tian and S.Wang explored real Seiberg-Witten invariants under the real structure of a Kahler manifold, which is conjugate linear in a proper sense. Their real structure, however, does not preserve spinc structure. a three-dimensional manifold, there is no such real structure. However, an orientation reversing involution on a three-dimensional spin manifold gives the powerful technique, like the real structure from G. Tian and S. Wang. Inspired by D. Freed, we know that if an orientation reversing involution preserves a pin structure, there always exists a self-adjoint lifting on complex spinor bundle satisfying certain conditions. We call the extension of lifting on spinc structure to a real structure on a three-dimensional spin manifold. My thesis is centered around the issues of Seiberg-Witten equations, the dimension and the orientability of the equivariant Seiberg-Witten moduli space with a real structure in our sense. Moreover, integer valued equivariant Seiberg-Witten invariants can be defined on a three-dimensional manifold with a dividing fixed point set.eng
dc.description.bibrefIncludes bibliographical referenceseng
dc.format.extentv, 59 pageseng
dc.identifier.oclc697310856eng
dc.identifier.urihttps://doi.org/10.32469/10355/9740eng
dc.identifier.urihttps://hdl.handle.net/10355/9740
dc.languageEnglisheng
dc.publisherUniversity of Missouri--Columbiaeng
dc.relation.ispartofcommunityUniversity of Missouri--Columbia. Graduate School. Theses and Dissertations.eng
dc.rightsAccess is limited to the campuses of the University of Missouri.eng
dc.subject.lcshSeiberg-Witten invariantseng
dc.subject.lcshThree-manifolds (Topology)eng
dc.subject.lcshKählerian manifoldseng
dc.titleSeiberg-Witten invariants on 3-manifolds with an orientation reversing involutioneng
dc.typeThesiseng
thesis.degree.disciplineMathematics (MU)eng
thesis.degree.grantorUniversity of Missouri--Columbiaeng
thesis.degree.levelDoctoraleng
thesis.degree.namePh. D.eng


Files in this item

[PDF]
[PDF]
[PDF]

This item appears in the following Collection(s)

[-] Show simple item record