Closing Boundary Components and Seifert Manifolds in the o-Graph Calculus
نویسنده
چکیده
Benedetti and Petronio developed in [1] a so called o-Graph Calculus, where a compact oriented 3-manifold with nonempty boundary could be described by a quadrivalent graph together with some extra structure. Using this calculus, we will show how to glue in a full cylinder along an embedded closed curve in a boundary component. This enables us to describe in the o-graphs how to close boundary components in general. Moreover, we will give explicit o-graphs of the lens spaces, and indicate how to translate general Heegaard diagrams into ographs; a construction for o-graphs of Seifert fibered spaces finishes this paper.
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