On the cut number of a \(3\)-manifold

DOI10.2140/gt.2002.6.409zbMath1021.57006arXivmath/0112193OpenAlexW2035396495MaRDI QIDQ1811528

Shelly L. Harvey

Publication date: 16 June 2003

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

Full work available at URL: https://arxiv.org/abs/math/0112193

zbMATH Keywords

free groupfundamental group3-manifoldAlexander modulecorankvirtual Betti number

Mathematics Subject Classification ID

General geometric structures on low-dimensional manifolds (57M50) Fundamental group, presentations, free differential calculus (57M05) Hyperbolic groups and nonpositively curved groups (20F67) Fundamental groups and their automorphisms (group-theoretic aspects) (20F34)

Related Items (8)

The topology of Helmholtz domains ⋮ Finding disjoint surfaces in 3-manifolds ⋮ Compact and locally dense leaves of a closed one-form foliation ⋮ Cut numbers of 3-manifolds ⋮ Quasi-Kähler groups, 3-manifold groups, and formality ⋮ The co-rank conjecture for 3-manifold groups ⋮ Integral lattices in TQFT ⋮ The co-rank of the fundamental group: The direct product, the first Betti number, and the topology of foliations

Cites Work

• Seifert surfaces of knots in \(S^ 4\)
• Quantum cyclotomic orders of 3-manifolds
• Homology and central series of groups
• Free subgroups in groups of small deficiency
• Homology TQFT's and the Alexander–Reidemeister Invariant of 3-Manifolds via Hopf Algebras and Skein Theory
• Cut numbers of 3-manifolds
• The co-rank conjecture for 3-manifold groups
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