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《Journal of Jilin University (Science Edition)》 1992-01
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Seifert Surfaces and Even Collections in an Orientable Hardlebody

Lei Fengchun (Department of Mathematics,Jilin University, Changchun)  
Let V be an orientable handlebody with genus n, (?)={J_1,…,J_k} a collection of pairwise disjoint simple closed eurves on (?)V. The present paper demonstrates that (1) (?)bounds a Seifert surface in V iff (?) is an even collection; (2) (?) can bound an orientable Seifert surface in V iff (?) is a zero collection, (3) If (?) is a proper even collection, any Seifert surface bounded by (?) in V must be nonorientable.
【Fund】: 国家自然科学基金
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