论文标题
在球形和圆环的小束中的精确拉格朗日人
Exact Lagrangians in the cotangent bundle of a sphere and a torus
论文作者
论文摘要
众所周知，在封闭的，平滑的歧管的cotangent束中的任何封闭，精确的Lagrangian都与零部分相同的同型类型。在本文中，我们给出了福卡亚理论证明这一事实的证据，让球体和圆环回顾并演示符号几何形状中的某些同源代数技术。
It is known that any closed, exact Lagrangian in the cotangent bundle of a closed, smooth manifold is of the same homotopy type as the zero section. In this paper, we give a Fukaya-theoretic proof of this fact for the sphere and torus to review and demonstrate some of the homological algebra techniques in symplectic geometry.
