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arXiv · 1005.3856

Real Places and Surface Bundles

Jonah Sinick
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Abstract

Our results complement D. Calegari's result that there are no hyperbolic once-punctured torus bundles over $S^1$ with trace field having real place. We exhibit several infinite families of pairs $(-χ, p)$ such that there exist hyperbolic surface bundles with over $S^1$ with fiber having $p$ punctures and Euler characteristic $χ$ with trace field of having a real place. This supports our conjecture that there exist such examples for each pair $(-χ, p)$ with finitely many known exceptions.

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Jonah Sinick. 2010-05-20. Real Places and Surface Bundles. https://arxiv.org/abs/1005.3856

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