Real Places and Surface Bundles
Abstract
Our results complement D. Calegari's result that there are no hyperbolic once-punctured torus bundles over S1 with trace field having real place. We exhibit several infinite families of pairs (-, p) such that there exist hyperbolic surface bundles with over S1 with fiber having p punctures and Euler characteristic with trace field of having a real place. This supports our conjecture that there exist such examples for each pair (-, p) with finitely many known exceptions.
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