论文标题
风车作为拉格朗日障碍
Pinwheels as Lagrangian barriers
论文作者
论文摘要
复杂的投射平面CP^2包含某些称为Pinwhelels的Lagrangian CW复合物,它们具有与Markov方程解决方案相关的有趣刚度。我们计算了风车的补充的Gromov宽度,并表明它严格比CP^2的Gromov宽度小,这意味着Pintheels在Biran意义上是Lagrangian屏障。这些gromov宽度集的集合点在简单的培训中,Lagrange光谱以下3。
The complex projective plane CP^2 contains certain Lagrangian CW-complexes called pinwheels, which have interesting rigidity properties related to solutions of the Markov equation. We compute the Gromov width of the complement of pinwheels and show that it is strictly smaller than the Gromov width of CP^2, meaning that pinwheels are Lagrangian barriers in the sense of Biran. The accumulation points of the set of these Gromov widths are in a simple bijection with the Lagrange spectrum below 3.