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Essential surfaces in 3-manifolds which fiber over the circle


Speaker: Elizabeth Klodginski, UCD
Location: 693 Kerr
Start time: Wed, Nov 19 2003, 4:10PM

Given a surface bundle over the circle M, we find a condition of the monodromy characterizing when certain immersed essential surfaces have the 1-line property. As a consequence, when M is hyperbolic, the surfaces are not homotopic to a totally geodesic surface. Furthermore, they cannot be the canonical surface of a non-positively curved cubed structure on M.