Algebraic Topology; Symplectic Geometry and Topology; Ordinary and Partial Differential Equations.
代数拓扑；辛几何与拓扑；常微分和偏微分方程。
In this paper, we mainly discuss the procedure for computing the rational cohomology of quotients group actions in symplectic geometry.
本文主要讨论辛几何中群作用的商的有理上同调的计算方法。
The analytical solutions for an elastic rectangular thin plate with two adjacent boundaries clamped-supported and the others simplified-supported are derived by a symplectic geometry method.
利用辛几何的方法推导出了两邻边固支另两邻边简支弹性矩形薄板问题的理论解。
Since then they have found numerous and deep applications in areas ranging from theoretical physics, symplectic geometry, knot theory, and modular representations of reductive algebraic groups.
从那时开始，人们发现量子群在很多领域都有着深刻的应用，范围遍及理论物理、辛几何、扭结理论与约化代数群的模表示理论等。
Since then they have found numerous and deep applications in areas ranging from theoretical physics, symplectic geometry, knot theory, and modular representations of reductive algebraic groups.
从那时开始，人们发现量子群在很多领域都有着深刻的应用，范围遍及理论物理、辛几何、扭结理论与约化代数群的模表示理论等。
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