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math.GT2020★ 7 cited
Finite-volume hyperbolic 3-manifolds are almost determined by their finite quotient groups
Yi Liu
For any orientable finite-volume hyperbolic 3-manifold, this paper proves that the profinite isomorphism type of the fundamental group uniquely determines the isomorphism type of t…
math.GT2020
Volume of Seifert representations for graph manifolds and their finite covers
Pierre Derbez, Yi Liu, Shicheng Wang
For any closed orientable 3-manifold, there is a volume function defined on the space of all Seifert representations of the fundamental group. The maximum absolute value of this fu…