Filtered cohomology and truncated cohomology of some symplectic standard $\Gamma $-manifolds

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2025年4月10日

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Shanborlang Bynnud,
Angom Tiken Singh

摘要

Luis Ugarte and Raquel Villacampa recently introduced the filtered cohomology of a symplectic manifold. They computed these cohomologies for a class of symplectic solvmanifolds satisfying the Mostow condition. In this paper we compute the filtered cohomology of a class of symplectic aspherical manifolds constructed by Baues namely the symplectic standard $\Gamma $ $Γ$ -manifolds. Since these symplectic standard $\Gamma $ $Γ$ -manifolds include solvmanifolds, our result generalizes that of Luis Ugarte and Raquel Villacampa. We also study the relationship between the filtered cohomology and truncated cohomology of these symplectic $\Gamma $ $Γ$ -manifolds.

Filtered cohomology and truncated cohomology of some symplectic standard \(\Gamma \)-manifolds

摘要