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Null-homologous twisting and the algebraic genus

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Publication:2058920
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DOI10.1007/978-3-030-62497-2_7zbMath1498.57006arXiv1908.04043OpenAlexW2968712901MaRDI QIDQ2058920

Duncan McCoy

Publication date: 10 December 2021

Full work available at URL: https://arxiv.org/abs/1908.04043


zbMATH Keywords

topologically slice knotalgebraic genustopological 4-genus


Mathematics Subject Classification ID

Knot theory (57K10)


Related Items

The topological slice genus of satellite knots ⋮ The \(\mathbb{Z}\)-genus of boundary links ⋮ 3-braid knots with maximal 4-genus ⋮ Untwisting 3‐strand torus knots



Cites Work

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  • The degree of the Alexander polynomial is an upper bound for the topological slice genus
  • The topology of four-dimensional manifolds
  • Some topologically locally-flat surfaces in the complex projective plane
  • On classical upper bounds for slice genera
  • The stable \(4\)-genus of alternating knots
  • Null-homologous unknottings
  • The unknotting number and classical invariants. I
  • On 2-bridge knots with differing smooth and topological slice genera
  • On the algebraic unknotting number
  • On the topological 4-genus of torus knots
  • Positive braid knots of maximal topological 4-genus
  • On Calculating the Slice Genera of 11- and 12-Crossing Knots
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