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Mathematics > Geometric Topology

arXiv:1005.3856 (math)
[Submitted on 20 May 2010]

Title:Real Places and Surface Bundles

Authors: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 $(-\chi, p)$ such that there exist hyperbolic surface bundles with over $S^1$ with fiber having $p$ punctures and Euler characteristic $\chi$ with trace field of having a real place. This supports our conjecture that there exist such examples for each pair $(-\chi, p)$ with finitely many known exceptions.
Comments: 13 pages, 5 figures
Subjects: Geometric Topology (math.GT); Differential Geometry (math.DG)
MSC classes: 57M50, 57M10, 57M27
Cite as: arXiv:1005.3856 [math.GT]
  (or arXiv:1005.3856v1 [math.GT] for this version)
  https://doi.org/10.48550/arXiv.1005.3856

Submission history

From: Jonah Sinick [view email]
[v1] Thu, 20 May 2010 23:30:24 UTC (47 KB)
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