Nonorientable, incompressible surfaces in punctured-torus bundles over $$S^1$$
Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales. Serie A. Matematicas - Tập 113 - Trang 1975-2000 - 2018
Tóm tắt
We classify incompressible,
$$\partial $$
-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
$$S^1$$
.
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