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arXiv · 1309.4264

Flat bundles and Hyper-Hodge decomposition on solvmanifolds

Hisashi Kasuya
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Abstract

We study rank $1$ flat bundles over solvmanifolds whose cohomologies are non-trivial. By using Hodge theoretical properties for all topologically trivial rank $1$ flat bundles, we represent the structure theorem of K\"ahler solvmanifolds as extensions of Hasegawa's result and Benson-Gordon's result for nilmanifolds.

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Hisashi Kasuya. 2013-09-17. Flat bundles and Hyper-Hodge decomposition on solvmanifolds. https://arxiv.org/abs/1309.4264

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