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    Symplectic geometry of rationally connected threefolds

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    Tian_grad.sunysb_0771E_10478.pdf (430.7Kb)
    Date
    1-May-11
    Author
    Tian, Zhiyu
    Publisher
    The Graduate School, Stony Brook University: Stony Brook, NY.
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    Abstract
    We study the symplectic geometry of rationally connected 3-folds. The first result shows that rational connectedness is a symplectic deformation invariant in dimension 3. If a rationally connected 3-fold X is Fano or has Picard number 2, we prove that there is a non-zero Gromov-Witten invariant with two insertions being the class of a point. Finally we prove that many other rationally connected 3-folds have birational models admitting a non-zero Gromov-Witten invariant with two point insertions.
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    http://hdl.handle.net/1951/56139
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    • Stony Brook Theses & Dissertations [SBU] [1956]

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