Title: Surface complexes of Seifert fibered spaces
Abstract: Curve complexes of surfaces provide information about surfaces and 3-manifolds in a variety of ways. Building on the success of curve complexes, we define surface complexes for 3-manifolds. The surface complex naturally decomposes into subcomplexes called Kakimizu complexes. For Seifert fibered spaces the relation between the surface complex and its subcomplexes can be described explicity. For instance, the surface complex of a Seifert fibered space with base orbifold a sphere is isomorphic to the cone on the curve complex of its base orbifold with a neighborhood of its exceptional points removed.