论文标题

立即归一化的符号能力

Cube normalized symplectic capacities

论文作者

Gutt, Jean, Pereira, Miguel, Ramos, Vinicius G. B.

论文摘要

我们引入了符号能力的新归一化条件,我们称之为立方体归一化。拉格朗日容量和立方体容量满足了这种情况。我们的主要结果是在所有维度上对单调旋转域的强viterbo猜想的类似物。此外,我们给出了一系列示例,其中标准标准化能力重合而不是立方体归一化。在此过程中,我们为Lagrangian的大量感谢您提供了一个明确的公式。

We introduce a new normalization condition for symplectic capacities, which we call cube normalization. This condition is satisfied by the Lagrangian capacity and the cube capacity. Our main result is an analogue of the strong Viterbo conjecture for monotone toric domains in all dimensions. Moreover, we give a family of examples where standard normalized capacities coincide but not cube normalized ones. Along the way, we give an explicit formula for the Lagrangian capacity on a large class of toric domains.

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