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arXiv · 2506.11228

Axis bundles in free-by-cyclic groups

Maxwell Plummer
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Abstract

Given a splitting of a free-by-cyclic group, the associated monodromy acts on outer space preserving Handel and Mosher's "axis bundle." We show that the property of a monodromy having a "lone axis" is non-generic in the sense that the associated splittings are projectively discrete in first cohomology. Additionally, we show that this discreteness statement cannot be promoted to a finiteness statement.

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Maxwell Plummer. 2025-06-12. Axis bundles in free-by-cyclic groups. https://arxiv.org/abs/2506.11228

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