Mixed Hodge structures and Sullivan's minimal models of Sasakian manifolds

Hisashi Kasuya

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arXiv · 1412.5825

Mixed Hodge structures and Sullivan's minimal models of Sasakian manifolds

Hisashi Kasuya

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Abstract

We show that the Malcev Lie algebra of the fundamental group of a compact $2n+1$-dimensional Sasakian manifold with $n\ge 2$ admits a quadratic presentation by using Morgan's bigradings of minimal models of mixed-Hodge diagrams. By using bigradings of minimal models, we also simplify the proof of the result of Cappelletti-Montano, De Nicola, Marrero and Yudin on Sasakian nilmanifolds.

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Hisashi Kasuya. 2014-12-18. Mixed Hodge structures and Sullivan's minimal models of Sasakian manifolds. https://arxiv.org/abs/1412.5825

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