论文标题
签约$ \ mathbb {c}^*$ - 动作的精确lagrangians
Exact Lagrangians from contracting $\mathbb{C}^*$-actions
论文作者
论文摘要
我们获得了非同位素封闭的精确lagrangian submanifolds中的家庭中的家庭中的submanifolds，这些家族允许收缩$ \ mathbb {c}^*$ - actions contractive symphic simblethic歧管。我们表明，这些Lagrangians的浮动共同体本质上是拓扑的，从而恢复了它们的交叉路口的普通共同体。此外，通过使用这些Lagrangians和Carrell-Goresky的积分分解定理的一个版本，我们可以在这些空间的同一共同体学上获得学位下限。
We obtain families of non-isotopic closed exact Lagrangian submanifolds in quasi-projective holomorphic symplectic manifolds that admit contracting $\mathbb{C}^*$-actions. We show that the Floer cohomologies of these Lagrangians are topological in nature, recovering the ordinary cohomologies of their intersection. Moreover, by using these Lagrangians and a version of Carrell-Goresky's integral decomposition theorem, we obtain degree-wise lower bounds on the symplectic cohomology of these spaces.
