40 citations · 111 across the 22 of their papers we have counts for
4 papers · 1 filter
Virtual cubulation of nonpositively curved graph manifolds
Yi Liu
In this paper, we show that a nontrivial compact graph manifold is nonpositively curved if and only if its fundamental group virtually embeds into a right-angled Artin group. As a…
On slope genera of knotted tori in 4-space
Yi Liu, Yi Ni, Hongbin Sun +1
In this note, we investigate genera for the slopes of a knotted torus in the 4-sphere analogous to the genus of a classical knot. We compare various formulations of this notion, an…
A Jorgensen-Thurston theorem for homomorphisms
Yi Liu
In this note, we provide a description of the structure of homomorphisms from a finitely generated group to any torsion-free (3-dimensional) Kleinian group with uniformly bounded f…
Finiteness of nonzero degree maps between three-manifolds
Yi Liu
In this paper, it is shown that every orientable closed 3-manifold maps with nonzero degree onto at most finitely many homeomorphically distinct irreducible non-geometric orientabl…