Branched Covering Constructions and the Symplectic Geography Problem
| dc.comment.hidden | I 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.contributor.author | Hughes, Mark Clifford | |
| dc.date.accessioned | 2008-08-15T18:09:05Z | |
| dc.date.available | 2008-08-15T18:09:05Z | |
| dc.date.issued | 2008-08-15T18:09:05Z | |
| dc.date.submitted | 2008 | |
| dc.description.abstract | We 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.identifier.uri | http://hdl.handle.net/10012/3857 | |
| dc.language.iso | en | en |
| dc.pending | false | en |
| dc.publisher | University of Waterloo | en |
| dc.subject | 4-manifold | en |
| dc.subject | branched covering | en |
| dc.subject | symplectic geography | en |
| dc.subject | symplectic manifold | en |
| dc.subject.program | Pure Mathematics | en |
| dc.title | Branched Covering Constructions and the Symplectic Geography Problem | en |
| dc.type | Master Thesis | en |
| uws-etd.degree | Master of Mathematics | en |
| uws-etd.degree.department | Pure Mathematics | en |
| uws.peerReviewStatus | Unreviewed | en |
| uws.scholarLevel | Graduate | en |
| uws.typeOfResource | Text | en |