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

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

2000-09-11

arxiv.org/abs/math/0009105v1

Mathematics

Differential Geometry

16 pages, amstex

Scientific paper

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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