论文标题
符号椭圆形的形状不变
The shape invariant of symplectic ellipsoids
论文作者
论文摘要
符号歧管的形状不变编码嵌入的拉格朗日托里的可能区域类别。这可能是一个强大的不变，但是对于大多数流动而言，形状是未知的。我们计算4维符号椭圆形的形状，其中因子的比例是整数。通过仅考虑单调托里，完整的形状不变性比结果更强的嵌入障碍物。
The shape invariant of a symplectic manifold encodes the possible area classes of embedded Lagrangian tori. Potentially this is a powerful invariant, but for most manifolds the shape is unknown. We compute the shape for 4 dimensional symplectic ellipsoids where the ratio of the factors is an integer. The full shape invariant gives stronger embedding obstructions than results by considering only monotone tori.
