论文标题
Orbifolds和Integer值得gromov-witten类型不变的新横向条件
A new transversality condition on orbifolds and integer-valued Gromov-Witten type invariants
论文作者
论文摘要
遵循福卡亚 - 奥诺（Fukaya-Ono）的建议和B. Parker的探索，我们引入了一种新的横向条件，即FOP横向条件，用于Orbifold Vector捆绑$ \ Mathcal {E} \ Mathcal {e} \ rightarrow \ Mathcal \ Mathcal \ Mathcal {u} $时，当$ \ nathcal compluce and Compluce and compluce and confffers n and fansull of n offers of conffferers flasters of complate fansuls fansull {e} $ {e} $。这个概念使人们可以在伪晶曲线的模量空间上定义各种整体虚拟循环。 Two immediate applications in symplectic topology are the definition of integer-valued Gromov-Witten type invariants in all genera for general compact symplectic manifolds using the global Kuranishi chart constructed by Abouzaid-McLean-Smith and Hirschi-Swaminathan, and an alternative proof of the cohomological splitting theorem for Hamiltonian fibrations over $S^2$ with integer abouzaid-mclean-smith的系数。
Following a proposal of Fukaya-Ono and the exploration by B. Parker, we introduce a new transversality condition, the FOP transversality condition, for sections of orbifold vector bundles $\mathcal{E} \rightarrow \mathcal{U}$ when both $\mathcal{E}$ and $\mathcal{U}$ have "normal complex structures." This notion allows one to define various integral virtual cycles on moduli spaces of pseudoholomorphic curves. Two immediate applications in symplectic topology are the definition of integer-valued Gromov-Witten type invariants in all genera for general compact symplectic manifolds using the global Kuranishi chart constructed by Abouzaid-McLean-Smith and Hirschi-Swaminathan, and an alternative proof of the cohomological splitting theorem for Hamiltonian fibrations over $S^2$ with integer coefficients by Abouzaid-McLean-Smith.
