Inequivalent genus 2 handlebodies in \(S^ 3\) with homeomorphic complement

DOI10.1016/0166-8641(90)90052-4zbMath0712.57008OpenAlexW2081528031MaRDI QIDQ748967

Michael Motto

Publication date: 1990

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0166-8641(90)90052-4

zbMATH Keywords

handlebodies in \(S^ 3\)homeomorphic complementsinequivalently embedded handlebodies of genus 2

Mathematics Subject Classification ID

Related Items (13)

Handlebody-knots and development of quandle theory ⋮ A table of n-component handlebody links of genus n+1 up to six crossings ⋮ The Markov theorems for spatial graphs and handlebody-knots with Y-orientations ⋮ Rigidity and symmetry of cylindrical handlebody-knots ⋮ Automorphisms of the 3-sphere that preserve spatial graphs and handlebody-knots ⋮ Inequivalent handlebody-knots with homeomorphic complements ⋮ A \(G\)-family of quandles and handlebody-knots ⋮ A complete invariant for closed surfaces in the three-sphere ⋮ Unknotting annuli and handlebody-knot symmetry ⋮ A complete invariant for connected surfaces in the 3-sphere ⋮ Levels of knotting of spatial handlebodies ⋮ Essential surfaces of non-negative Euler characteristic in genus two handlebody exteriors ⋮ Knotted handle decomposing spheres for handlebody-knots

Cites Work

• Knots with unknotting number 1 and essential Conway spheres
• On surfaces in 3-sphere: Prime decompositions

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