论文标题
关于seifert纤维纤维球形3-纤维的差异类型
On the diffeomorphism type of Seifert fibered spherical 3-orbifolds
论文作者
论文摘要
众所周知，在封闭的球形Seifert三序列中，只有镜头空间和棱镜歧管允许几种不等于差异形态的Seifert纤维。此外，前者承认无限的纤维纤维，而后者正是两个。在这项工作中，我们分析了Orbifold Seifert纤维的非唯一性现象。对于任何封闭的球形塞菲特三孔，我们确定其不相等纤维的数量。当它们以有限的数字为单位（实际上，最多三个）时，我们会提供一个完整的列表。如果有许多纤维化，我们描述了一种算法程序，以确定两个封闭的球形塞菲尔特球虫是否是差异的。
It is well known that, among closed spherical Seifert three-manifolds, only lens spaces and prism manifolds admit several Seifert fibrations which are not equivalent up to diffeomorphism. Moreover the former admit infinitely many fibrations, and the latter exactly two. In this work, we analyse the non-uniqueness phenomenon for orbifold Seifert fibrations. For any closed spherical Seifert three-orbifold, we determine the number of its inequivalent fibrations. When these are in a finite number (in fact, at most three) we provide a complete list. In case of infinitely many fibrations, we describe instead an algorithmic procedure to determine whether two closed spherical Seifert orbifolds are diffeomorphic.
