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Abstract: Let M be a compressionbody containing a graph T with at least one edge suchthat \boundary + M is parallel to the union of T and \boundary - M. We extendmethods of Hayashi and Shimokawa to classify bridge surfaces for T. The resultsof this paper are used in later work to show that if a bridge surface for agraph in a 3-manifold is c-weakly reducible then either a degenerate situationoccurs or the exterior of the graph contains an essential meridional surface.



Autor: Scott A. Taylor, Maggy Tomova

Fuente: https://arxiv.org/







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