Positive simplicial volume implies virtually positive Seifert volume for 3-manifolds
From MaRDI portal
Publication:2402865
DOI10.2140/gt.2017.21.3159zbMath1378.57024arXiv1603.03558OpenAlexW3103639920MaRDI QIDQ2402865
Pierre Derbez, Yi Liu, Hong Bin Sun, Shi Cheng Wang
Publication date: 15 September 2017
Published in: Geometry \& Topology (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1603.03558
General geometric structures on low-dimensional manifolds (57M50) Homology of classifying spaces and characteristic classes in algebraic topology (55R40) (G)-structures (53C10)
Related Items
Virtual domination of 3‐manifolds II, Volume of Seifert representations for graph manifolds and their finite covers, Volume of representations and mapping degree
Cites Work
- Universal realisators for homology classes
- The virtual Haken conjecture (with an appendix by Ian Agol, Daniel Groves and Jason Manning).
- Immersing almost geodesic surfaces in a closed hyperbolic three manifold
- Finiteness of mapping degree sets for 3-manifolds
- Finiteness of mapping degrees and \(\text{PSL}(2,R\mathbf)\)-volume on graph manifolds
- Volumes in Seifert space
- Homology of curves and surfaces in closed hyperbolic 3-manifolds
- Volume and bounded cohomology
- Rationality of secondary classes
- The Gromov invariant of links
- \(\pi_1\)-injective surfaces in graph manifolds
- Covering degrees are determined by graph manifolds involved
- Geometric Milnor-Wood inequalities
- Special cube complexes
- Virtual domination of 3-manifolds
- Commensurability and virtual fibration for graph manifolds
- A characterization of virtually embedded subsurfaces in $3$-manifolds
- Graph manifolds have virtually positive Seifert volume
- Separability of embedded surfaces in 3-manifolds
- Graph manifolds with boundary are virtually special
- Seifert fibered spaces in 3-manifolds
- The Godbillon-Vey Invariant of a Transversely Homogeneous Foliation
- Chern–Simons theory, surface separability, and volumes of 3-manifolds
- Three dimensional manifolds, Kleinian groups and hyperbolic geometry
- Covering Invariants and Cohopficity of 3-Manifold Groups
- The Geometries of 3-Manifolds