Stable presentation length of 3-manifold groups

DOI10.2140/agt.2018.18.687zbMath1396.57002arXiv1501.02418OpenAlexW3101089094WikidataQ130128771 ScholiaQ130128771MaRDI QIDQ1743501

Ken'ichi Yoshida

Publication date: 13 April 2018

Published in: Algebraic \& Geometric Topology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1501.02418

zbMATH Keywords

presentations of groupssimplicial volumefinite covers of 3-manifoldspresentation length

Mathematics Subject Classification ID

Cites Work

• The virtual Haken conjecture (with an appendix by Ian Agol, Daniel Groves and Jason Manning).
• Integral foliated simplicial volume of aspherical manifolds
• Complexity theory of three-dimensional manifolds
• Heegaard genus of closed orientable Seifert 3-manifolds
• Dehn filling of the ``magic 3-manifold
• Even triangulations of \(n\)-dimensional pseudo-manifolds
• Simplicial volume of Hilbert modular varieties
• Volume and bounded cohomology
• The Gromov invariant of links
• Factoring polynomials with rational coefficients
• Characteristic numbers of 3-manifolds
• Expanders, rank and graphs of groups
• On the complexity and volume of hyperbolic 3-manifolds
• Thick triangulations of hyperbolic \(n\)-manifolds
• Principal congruence link complements
• The good pants homology and the Ehrenpreis conjecture
• Approximating \(L^2\)-invariants and homology growth
• Heegaard splittings, the virtually Haken conjecture and property \((\tau)\)
• On irreducible 3-manifolds which are sufficiently large
• Strong rigidity of Q-rank 1 lattices
• Volumes of discrete groups and topological complexity of homology spheres
• A linear bound on the tetrahedral number of manifolds of bounded volume (after Jørgensen and Thurston)
• Geometrically and diagrammatically maximal knots
• Polyhedra representation of link complements
• Presentation length and Simon’s conjecture
• An Introduction to the Geometry of Numbers
• Complexity andT‐invariant of Abelian and Milnor groups, and complexity of 3‐manifolds
• Hyperbolic Structures of Arithmetic Type on Some Link Complements
• The volume of a closed hyperbolic 3-manifold is bounded by 𝜋 times the length of any presentation of its fundamental group
• Toroidal and Annular Dehn Fillings
• Décomposition d'un groupe en produit libre ou somme amalgamée.
• Stable complexity and simplicial volume of manifolds
• The asymptotic growth of torsion homology for arithmetic groups
• Rank and genus of 3-manifolds
• Strong Rigidity of Locally Symmetric Spaces. (AM-78)

This page was built for publication: Stable presentation length of 3-manifold groups