Yi Liu

activity

20082026

most citedVirtual cubulation of nonpositively curved graph manifolds

40 citations · 111 across the 22 of their papers we have counts for

collaborators

Showing 2013Show all

2 papers · 1 filter

math.GT2013★ 14 cited

Chern--Simons theory, surface separability, and volumes of 3-manifolds

Pierre Derbez, Yi Liu, Shicheng Wang

We study the set $vol (M, G)$ of volumes of all representations $ρ\coπ_1M\to G$, where $M$ is a closed oriented $3$ -manifold and $G$ is either ${\rm Iso}_+{\Hi}^3$ o…

math.GT2013★ 15 cited

Homology of curves and surfaces in closed hyperbolic 3-manifolds

Yi Liu, Vladimir Markovic

Among other things, we prove the following two topologcal statements about closed hyperbolic 3-manifolds. First, every rational second homology class of a closed hyperbolic 3-manif…