Small PSL(2,F) representations of Seifert fiber space groups
Abstract
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 PSL(2,F) quotient where |F|<c(220t3120t) 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.
Citation
Hoffman, N.R., Petersen, K.L. (2022). Small PSL(2,F) representations of Seifert fiber space groups.