论文标题
Lagrangian光谱指标的界限
Bounds on the Lagrangian spectral metric in cotangent bundles
论文作者
论文摘要
令$ n $为封闭的歧管，$ u \ u \ subset t^*（n）$一个$ n $的cotangengent束中的有界域，包含零部分。由于Viterbo引起的一个猜想断言，零部分与零部分精确的Lagrangian Submanifolds的光谱度量是有界的。在本文中，我们在两个这样的lagrangians $ l_0，l_1 $之间的光谱距离上建立了一个上限，该距离线性地取决于$（l_0，f）$和$（l_1，f）$ floer综合体的边界深度，其中$ f $是cotangent束的纤维。
Let $N$ be a closed manifold and $U \subset T^*(N)$ a bounded domain in the cotangent bundle of $N$, containing the zero-section. A conjecture due to Viterbo asserts that the spectral metric for Lagrangian submanifolds that are exact-isotopic to the zero-section is bounded. In this paper we establish an upper bound on the spectral distance between two such Lagrangians $L_0, L_1$, which depends linearly on the boundary depth of the Floer complexes of $(L_0, F)$ and $(L_1, F)$, where $F$ is a fiber of the cotangent bundle.
