分类$G$ -辛流形的群上同调加细
Group-cohomology refinement to classify $G$-symplectic manifolds
摘要:
“伪上同调”作为李群上同调的一种加细,对李群上的辛流形进行了分类研究。在这项研究中,辛上同调的框架提供了基本的新的见解,这丰富了以前开发的Cartan-Eilenberg $H^2(G,U(1))$上同调的设置的分析。
英文摘要:
``Pseudo-cohomology'', as a refinement of Lie group cohomology, is soundly studied aiming at classifying of the symplectic manifolds associated with Lie groups. In this study, the framework of symplectic cohomology provides fundamental new insight, which enriches the analysis previously developed in the setting of Cartan-Eilenberg $H^2(G,U(1))$ cohomology.
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