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dc.contributor.advisorWang, Shuguang, 1963-eng
dc.contributor.authorRenner, Andreweng
dc.date.issued2016eng
dc.date.submitted2016 Springeng
dc.descriptionAbstract from public.pdf file.eng
dc.descriptionDissertation supervisor: Dr. Shuguang Wang.eng
dc.descriptionIncludes vita.eng
dc.description.abstractThis dissertation set out to investigate a generalization of Seiberg-Witten theory from four-dimensional manifolds to four-codimensional Riemannian foliations. Seiberg-Witten theory was originally born out of the String theory of physics, however the introduction of that theory to pure mathematics has proved to have great utility for studying four-dimensional manifolds, particularly for classifying such spaces. A foliation is a geometric space that is broken down into disjoint lower dimension spaces, each having the same dimension. A generalization of the Seiberg-Witten theory to four-codimensional foliations could prove just as fruitful to the study of the transverse space, a generally complicated space, associated to a foliation.eng
dc.description.bibrefIncludes bibliographical references (pages 75-78).eng
dc.format.extent1 online resource (v, 79 pages) : illustrationseng
dc.identifier.merlinb118910528eng
dc.identifier.oclc992171585eng
dc.identifier.urihttps://hdl.handle.net/10355/56833
dc.identifier.urihttps://doi.org/10.32469/10355/56833eng
dc.languageEnglisheng
dc.publisherUniversity of Missouri--Columbiaeng
dc.relation.ispartofcollectionUniversity of Missouri--Columbia. Graduate School. Theses and Dissertationseng
dc.rightsOpenAccesseng
dc.rights.licenseThis work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivs 3.0 License.eng
dc.subject.FASTDifferential topologyeng
dc.subject.FASTSeiberg-Witten invariantseng
dc.subject.FASTFour-manifolds (Topology)eng
dc.subject.FASTFoliations (Mathematics)eng
dc.titleA foliated Seiberg-Witten theoryeng
dc.typeThesiseng
thesis.degree.disciplineMathematics (MU)eng
thesis.degree.grantorUniversity of Missouri--Columbiaeng
thesis.degree.levelDoctoraleng
thesis.degree.namePh. D.eng


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