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dc.contributor.authorHughes, Mark Clifford
dc.date.accessioned2008-08-15 18:09:05 (GMT)
dc.date.available2008-08-15 18:09:05 (GMT)
dc.date.issued2008-08-15T18:09:05Z
dc.date.submitted2008
dc.identifier.urihttp://hdl.handle.net/10012/3857
dc.description.abstractWe apply branched covering techniques to construct minimal simply-connected symplectic 4-manifolds with small χ_h values. We also use these constructions to provide an alternate proof that for each s ≥ 0, there exists a positive integer λ(s) such that each pair (j,8j+s) with j ≥ λ(s) is realized as (χ_h(M),c_1^2(M)) for some minimal simply-connected symplectic M. The smallest values of λ(s) currently known to the author are also explicitly computed for 0 ≤ s ≤ 99. Our computations in these cases populate 19 952 points in the (χ,c)-plane not previously realized in the existing literature.en
dc.language.isoenen
dc.publisherUniversity of Waterlooen
dc.subject4-manifolden
dc.subjectbranched coveringen
dc.subjectsymplectic geographyen
dc.subjectsymplectic manifolden
dc.titleBranched Covering Constructions and the Symplectic Geography Problemen
dc.typeMaster Thesisen
dc.comment.hiddenI am resubmitting my previously approved thesis with small corrections. Note: This version has been formatted for single sided printing (the original was formatted for double sided printing).en
dc.pendingfalseen
dc.subject.programPure Mathematicsen
uws-etd.degree.departmentPure Mathematicsen
uws-etd.degreeMaster of Mathematicsen
uws.typeOfResourceTexten
uws.peerReviewStatusUnrevieweden
uws.scholarLevelGraduateen


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