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Incompressible surfaces in handlebodies and boundary reducible 3-manifolds |
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| Authors: | João Miguel Nogueira Henry Segerman |
| Institution: | a Department of Mathematics, University of Texas at Austin, 1 University Station, C1200 Austin, TX 78712, USA b CMUC, Department of Mathematics, University of Coimbra, Apartado 3008, 3001-454 Coimbra, Portugal c Department of Mathematics and Statistics, The University of Melbourne, VIC 3010, Australia |
| Abstract: | We study the existence of incompressible embeddings of surfaces into the genus two handlebody. We show that for every compact surface with boundary, orientable or not, there is an incompressible embedding of the surface into the genus two handlebody. In the orientable case the embedding can be either separating or non-separating. We also consider the case in which the genus two handlebody is replaced by an orientable 3-manifold with a compressible boundary component of genus greater than or equal to two. |
| Keywords: | 57N10 57N35 |
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