Knot concordances in $S^1\times S^2$ and exotic smooth $4$-manifolds

zbMath1452.57016arXiv1901.00806MaRDI QIDQ5208907

Selman Akbulut, Eylem Zeliha Yildiz

Publication date: 22 January 2020

Full work available at URL: https://arxiv.org/abs/1901.00806

zbMATH Keywords

knot concordanceabsolutely exotic manifoldStein manifold pair

Mathematics Subject Classification ID

Moduli problems for differential geometric structures (58D27) Surgery and handlebodies (57R65) Differentiable manifolds, foundations (58A05) Differentiable structures in differential topology (57R55) Cobordism and concordance in topological manifolds (57N70) Knot theory (57K10) General topology of 4-manifolds (57K40)

Related Items (2)

Exotic Mazur manifolds and knot trace invariants ⋮ Smoothly non-isotopic Lagrangian disk fillings of Legendrian knots

Uses Software

• SnapPy
• hikmot

Cites Work

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• Absolutely exotic compact 4-manifolds
• Asymmetric hyperbolic \(L\)-spaces, Heegaard genus, and Dehn filling
• A solution to a conjecture of Zeeman
• The Seiberg-Witten invariants and symplectic forms
• Exotic Mazur manifolds and knot trace invariants
• On irreducible 3-manifolds which are sufficiently large
• Verified Computations for Hyperbolic 3-Manifolds
• The 4-dimensional light bulb theorem
• A Generalization of the Lightbulb Theorem and PL I-Equivalence of Links
• Homology spheres and property R

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