Splittings of knot groups

DOI10.1007/s00208-014-1123-6zbMath1328.57014arXiv1308.6497OpenAlexW2121671115MaRDI QIDQ2354333

Daniel S. Silver, Stefan Friedl, Susan G. Williams

Publication date: 13 July 2015

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1308.6497

zbMATH Keywords

incompressible surfaceknot genusnon-fibred knotsHNN decomposition

Mathematics Subject Classification ID

Related Items (3)

Two-generator one-relator groups and marked polytopes ⋮ Rank gradients of infinite cyclic covers of 3-manifolds ⋮ Thurston's vision and the virtual fibering theorem for 3-manifolds

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A vanishing theorem for twisted Alexander polynomials with applications to symplectic 4-manifolds
• Sutured Floer homology distinguishes between Seifert surfaces
• Twisted Reidemeister torsion, the Thurston norm and fibered manifolds
• The virtual fibering theorem for 3-manifolds
• Varieties of group representations and splittings of 3-manifolds
• Group actions on fibered three-manifolds
• Heegaard genus of closed orientable Seifert 3-manifolds
• The Thurston norm, fibered manifolds and twisted Alexander polynomials
• The Thurston norm and twisted Alexander polynomials
• On the geometric and the algebraic rank of graph manifolds
• Relative hyperbolicity and relative quasiconvexity for countable groups.
• Combination of quasiconvex subgroups of relatively hyperbolic groups.
• scl.
• Research announcement: The structure of groups with a quasiconvex hierarchy.
• Foliations and the topology of 3-manifolds. III
• A geometric invariant of discrete groups
• A simple genus one knot with incompressible spanning surfaces of arbitrarily high genus
• Lectures on hyperbolic geometry
• Geometric finiteness and rationality
• Simple knots with unique spanning surfaces
• A characterization of non-fibered knots
• Almost finitely presented soluble groups
• Minimal genus in \(S^1\times M^3\)
• Twisted Alexander polynomial for finitely presentable groups
• Kneser-Haken finiteness for bounded 3-manifolds, locally free groups, and cyclic covers
• Hyperbolic knots spanning accidental Seifert surfaces of arbitrarily high genus
• On sutured Floer homology and the equivalence of Seifert surfaces
• Geometrisation of 3-manifolds
• Twisted Alexander polynomial and Reidemeister torsion
• Mapping tori with first Betti number at least two
• Minimal genus in 4-manifolds with a free circle action
• Rank gradients of infinite cyclic covers of 3-manifolds
• Classification of the incompressible spanning surfaces for prime knots of 10 or less crossings
• On irreducible 3-manifolds which are sufficiently large
• The word problem in fundamental groups of sufficiently large irreducible 3-manifolds
• The commutator group of a doubled knot
• On realizing HNN groups in 3-manifolds
• Isotopy types of knot spanning surfaces
• Knoten und Vollringe
• Separability of embedded surfaces in 3-manifolds
• Graph manifolds with boundary are virtually special
• A Survey of Twisted Alexander Polynomials
• Shrinkwrapping and the taming of hyperbolic 3-manifolds
• Criteria for virtual fibering
• LIMIT SETS AND COMMENSURABILITY OF KLEINIAN GROUPS
• Nonfibered knots and representation shifts
• Twisted Alexander polynomials and representation shifts
• A New Proof of the Annulus and Torus Theorems
• Limit Sets of Geometrically Finite Hyperbolic Groups
• Knots with Infinitely Many Minimal Spanning Surfaces
• Mixed 3-manifolds are virtually special
• Rank and genus of 3-manifolds
• Virtual cubulation of nonpositively curved graph manifolds
• Knot Groups. Annals of Mathematics Studies. (AM-56)
• Incompressible Surfaces in Knot Spaces
• Simple Knots Without Unique Minimal Surfaces
• Compact Submanifolds of 3-Manifolds
• Foliations and the topology of 3-manifolds
• Knots
• Hyperbolic manifolds and discrete groups
• Representations of knot groups and twisted Alexander polynomials
• On quasiconvex subgroups of word hyperbolic groups

This page was built for publication: Splittings of knot groups