论文标题
关于拉格朗日交叉点和勒迪德里亚殖民主义的注释
A note on Lagrangian intersections and Legendrian Cobordism
论文作者
论文摘要
令$λ，λ'$为一对封闭的Legendrian submanifolds，在封闭的触点歧管$（y，ξ= ker（α））$中，由legendrian cobordism $ w \ subset（\ mathbb {c} \ times y，\ times y，\ tilde y，\ tilde = ker（-y dx +α））$。在本说明中，我们表明，在高级设置中，如果$λ$与floer同源性的原因相交，则与lagrangian $ p \ subset y $相交，那么$λ'$也是如此。
Let $Λ, Λ'$ be a pair of closed Legendrian submanifolds in a closed contact manifold $(Y, ξ= Ker(α))$ related by a Legendrian cobordism $W\subset (\mathbb{C}\times Y, \tildeξ=Ker(-y dx +α))$. In this note, we show that in the hypertight setting, if $Λ$ intersects a closed, weakly exact or monotone pre-Lagrangian $P\subset Y$ for reasons of Floer homology, then so does $Λ'$.
