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A note on solvable Lie groups without lattices and the Felix-Thomas models of fibrations

Aleksy Tralle
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Abstract

In this paper we show that a certain solvable Lie group constructed in a paper by Benson and Gordon has no lattices. This result answers (in the negative way) a question posed by several authors in the context of symplectic geometry. The main theorem is proved with the use of rational homotopy theory.

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Aleksy Tralle. 2000-09-11. A note on solvable Lie groups without lattices and the Felix-Thomas models of fibrations. https://arxiv.org/abs/math/0009105

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