English

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

Mathematical Physics 2009-11-10 v1 math.MP

Abstract

``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 H2(G,U(1))H^2(G,U(1)) cohomology.

Keywords

Cite

@article{arxiv.math-ph/0307041,
  title  = {Group-cohomology refinement to classify $G$-symplectic manifolds},
  author = {J. Guerrero and J. L. Jaramillo and V. Aldaya},
  journal= {arXiv preprint arXiv:math-ph/0307041},
  year   = {2009}
}

Comments

16 pages, Latex

R2 v1 2026-07-22T16:23:08.887Z