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http://hdl.handle.net/10012/3857
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| Title: | Branched Covering Constructions and the Symplectic Geography Problem |
| Authors: | Hughes, Mark Clifford |
| Keywords: | 4-manifold
branched covering
symplectic geography
symplectic manifold |
| Approved Date: | 15-Aug-2008 |
| Date Submitted: | 2008 |
| 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. |
| Program: | Pure Mathematics |
| Department: | Pure Mathematics |
| Degree: | Master of Mathematics |
| URI: | http://hdl.handle.net/10012/3857 |
| Appears in Collections: | Electronic Theses and Dissertations (UW)
Faculty of Mathematics Theses and Dissertations
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