学位论文详细信息
Branched Covering Constructions and the Symplectic Geography Problem | |
4-manifold;branched covering;symplectic geography;symplectic manifold;Pure Mathematics | |
Hughes, Mark Clifford | |
University of Waterloo | |
关键词: 4-manifold; branched covering; symplectic geography; symplectic manifold; Pure Mathematics; | |
Others : https://uwspace.uwaterloo.ca/bitstream/10012/3857/1/BranchedSymplectic.pdf | |
瑞士|英语 | |
来源: UWSPACE Waterloo Institutional Repository | |
【 摘 要 】
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 computedfor 0 ≤ s ≤ 99.Our computations in these cases populate 19 952 points in the (χ,c)-plane not previously realized in the existing literature.
【 预 览 】
Files | Size | Format | View |
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Branched Covering Constructions and the Symplectic Geography Problem | 506KB | download |