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dc.contributor.authorHughes, Mark Clifford 18:09:05 (GMT) 18:09:05 (GMT)
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.publisherUniversity of Waterlooen
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.subject.programPure Mathematicsen Mathematicsen
uws-etd.degreeMaster of Mathematicsen

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