论文标题
小$ \ text {psl}（2，\ mathbb {f}）$ seifert光纤空间组的表示
Small $\text{PSL}(2, \mathbb{F})$ representations of Seifert fiber space groups
论文作者
论文摘要
让$ m $成为一个塞弗特纤维空间，与非 - 亚伯利亚基本组，并承认用$ t $ tetrahedra进行三角剖分。我们表明有一个非亚伯利亚$ \ text {psl}（2，\ mathbb {f}）$商在其中$ | \ m athbb f | <c（2^{20T} 3^{120T}）$对于绝对常数$ c> 0 $，并用它来表明镜头空间识别问题在于Seifert Fiber Space输入的综合。在将镜头空间与其他$ 3 $区分开来的背景下，我们以讨论结果的讨论结尾。
Let $M$ be a Seifert fiber space with non-abelian fundamental group and admitting a triangulation with $t$ tetrahedra. We show that there is a non-abelian $\text{PSL}(2, \mathbb{F})$ quotient where $|\mathbb F| < c(2^{20t}3^{120t})$ for an absolute constant $c>0$ and use this to show that the lens space recognition problem lies in coNP for Seifert fiber space input. We end with a discussion of our results in the context of distinguishing lens spaces from other $3$--manifolds more generally.
