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- W2063405087 abstract "A symplectic manifold $(M,omega)$ is called {em (symplectically) uniruled} if there is a nonzero genus zero GW invariant involving a point constraint. We prove that symplectic uniruledness is invariant under symplectic blow-up and blow-down. This theorem follows from a general Relative/Absolute correspondence for a symplectic manifold together with a symplectic submanifold. A direct consequence is that symplectic uniruledness is a symplectic birational invariant. Here we use Guillemin and Sternberg's notion of cobordism as the symplectic analogue of the birational equivalence." @default.
- W2063405087 created "2016-06-24" @default.
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- W2063405087 date "2007-12-11" @default.
- W2063405087 modified "2023-10-16" @default.
- W2063405087 title "Birational cobordism invariance of uniruled symplectic manifolds" @default.
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- W2063405087 doi "https://doi.org/10.1007/s00222-007-0097-3" @default.
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