Extended simplicial rational Nomizu's Theorem

Hisashi Kasuya

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arXiv · 1410.3176

Extended simplicial rational Nomizu's Theorem

Hisashi Kasuya

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Abstract

For a torsion-free virtually polycyclic group $\Gamma$, we give a canonical homomorphism form certain finite-dimensional cochain complex to the $\Q$-polynomial de Rham complex of the simplicial classifying space $B\Gamma$ which induces a cohomology isomorphism. By this result, we obtain the Sullivan's minimal model of certain differential graded algebra defined on $B\Gamma$ and we obtain new examples of hard Lefschetz symplectic manifolds and hard Lefschetz contact manifolds.

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BibTeX RIS

Hisashi Kasuya. 2014-10-13. Extended simplicial rational Nomizu's Theorem. https://arxiv.org/abs/1410.3176

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