Separability of embedded surfaces in 3-manifolds

DOI10.1112/S0010437X14007350zbMath1305.57039arXiv1210.7298MaRDI QIDQ2926582

Piotr Przytycki, Daniel T. Wise

Publication date: 31 October 2014

Published in: Compositio Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1210.7298

zbMATH Keywords

surfaceseparable3-manifold

Mathematics Subject Classification ID

General low-dimensional topology (57M99) Residual properties and generalizations; residually finite groups (20E26)

Related Items (13)

Relative cohomology theory for profinite groups ⋮ Chern–Simons theory, surface separability, and volumes of 3-manifolds ⋮ Positive simplicial volume implies virtually positive Seifert volume for 3-manifolds ⋮ Recognition of being fibered for compact 3-manifolds ⋮ Distortion of surfaces in graph manifolds ⋮ Subgroup distortion of 3-manifold groups ⋮ Twisted Reidemeister torsion, the Thurston norm and fibered manifolds ⋮ Quasiconvexity in 3-manifold groups ⋮ Character varieties of higher dimensional representations and splittings of 3-manifolds ⋮ Profinite completions, cohomology and JSJ decompositions of compact 3-manifolds ⋮ A characterization of virtually embedded subsurfaces in $3$-manifolds ⋮ Around 3-manifold groups ⋮ Splittings of knot groups

Cites Work

• A vanishing theorem for twisted Alexander polynomials with applications to symplectic 4-manifolds
• Combination of quasiconvex subgroups of relatively hyperbolic groups.
• Bouts des variétés hyperboliques de dimension 3. (Ends of hyperbolic 3-dimensional manifolds)
• \(\pi_1\)-injective surfaces in graph manifolds
• Graph manifolds with boundary are virtually special
• Twisted Alexander polynomials and representation shifts
• Subgroups of Surface Groups are Almost Geometric

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