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Nonorientable, incompressible surfaces in punctured-torus bundles over S^1
Nonorientable, incompressible surfaces in punctured-torus bundles over S^1
We classify incompressible, boundary-incompressible, nonorientable surfaces in punctured-torus bundles over $S^1$. We use the ideas of Floyd, Hatcher, and Thurston. The main tool is to put our surface in the "Morse position" with respect to the projection of the bundle into the basis S^1.
Comment: 39 pages, 35 figures, one table, Dedicated to Maite Lozano for her 70th birthday
arXiv: Mathematics::Geometric Topology Mathematics::Symplectic Geometry
Geometric Topology (math.GT), FOS: Mathematics, 57M27, Mathematics - Geometric Topology
Geometric Topology (math.GT), FOS: Mathematics, 57M27, Mathematics - Geometric Topology
arXiv: Mathematics::Geometric Topology Mathematics::Symplectic Geometry
1212
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We classify incompressible, boundary-incompressible, nonorientable surfaces in punctured-torus bundles over $S^1$. We use the ideas of Floyd, Hatcher, and Thurston. The main tool is to put our surface in the "Morse position" with respect to the projection of the bundle into the basis S^1.
Comment: 39 pages, 35 figures, one table, Dedicated to Maite Lozano for her 70th birthday