14 citations · 28 across the 12 of their papers we have counts for
12 papers
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…
Volume of representations and mapping degree
Pierre Derbez, Yi Liu, Hongbin Sun +1
Given a connected real Lie group and a contractible homogeneous proper --space furnished with a --invariant volume form, a real valued volume can be assigned to any repre…
Positive simplicial volume implies virtually positive Seifert volume for -manifolds
Pierre Derbez, Yi Liu, Hongbin Sun +1
In this paper, it is shown that for any closed orientable -manifold with positive simplicial volume, the growth of the Seifert volume of its finite covers is faster than the lin…
Chern--Simons theory, surface separability, and volumes of 3-manifolds
Pierre Derbez, Yi Liu, Shicheng Wang
We study the set of volumes of all representations $ρ\coπ_1M\to G$, where is a closed oriented -manifold and is either ${\rm Iso}_+{\Hi}^3$ o…
Chern Simons Theory and the volume of 3-manifolds
Pierre Derbez, Shicheng Wang
We give some applications of the Chern Simons gauge theory to the study of the set of volumes of all representations $ρ\coπ_1N\to G$, where is a closed oriente…
Finiteness of mapping degree sets for 3-manifolds
Pierre Derbez, Hongbin Sun, Shicheng Wang
By constructing certain maps, this note completes the answer of the Question: For which closed orientable 3-manifold , the set of mapping degrees is finite for any clo…