We generalize a theorem of Finkelstein and Moriah and show that if a link L has a 2n-plat projection satisfying certain conditions, then its complement contains some closed essential surfaces. In most cases these surfaces remain essential after any totally nontrivial surgery on L.
机构:
Dalian Univ Technol, Sch Math Sci, Dalian 116024, Liaoning, Peoples R ChinaDalian Univ Technol, Sch Math Sci, Dalian 116024, Liaoning, Peoples R China