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Splitting numbers of links and the four-genus

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Publication:4590995
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DOI10.1090/proc/13703zbMath1381.57006arXiv1609.04353OpenAlexW2964309347MaRDI QIDQ4590995

Charles Livingston

Publication date: 21 November 2017

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1609.04353


zbMATH Keywords

linking numbersband connected sumsfour-genus of knotssplitting numbers of links


Mathematics Subject Classification ID


Related Items (3)

Splitting number of augmented links ⋮ Links with splitting number one ⋮ A note on the weak splitting number



Cites Work

  • Blanchfield forms and Gordian distance
  • The complete splitting number of a lassoed link
  • Slicing Bing doubles
  • On links not cobordant to split links
  • Knot Floer homology and the four-ball genus
  • A link-splitting spectral sequence in Khovanov homology
  • Splitting numbers and signatures
  • Bordered Heegaard Floer homology and the tau-invariant of cable knots
  • Two-Bridge Links with Unlinking Number One
  • Algebraic and Heegaard–Floer invariants of knots with slice Bing doubles
  • SPLITTING VERSUS UNLINKING
  • Immersed concordance of links and Heegaard Floer homology
  • Splitting Numbers of Links




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