Group-cohomology refinement to classify $G$-symplectic manifolds

Details Group-cohomology refinement to classify $G$-symplectic manifolds Group-cohomology refinement to classify $G$-symplectic manifolds

2003-07-21

arxiv.org/abs/math-ph/0307041v1

Physics

Mathematical Physics

16 pages, Latex

Scientific paper

10.1063/1.1695093

``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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