The strong slope conjecture for cablings and connected sums

Kenneth L. Baker, Kimihiko Motegi, Toshie Takata

Research output: Contribution to journalArticlepeer-review


We show that, under some technical conditions, the Strong Slope Conjecture proposed by Kalfagianni and Tran is closed under connect sums and cabling. As an application, we establish the Strong Slope Conjecture for graph knots.

Original languageEnglish (US)
Pages (from-to)676-704
Number of pages29
JournalNew York Journal of Mathematics
StatePublished - 2021


  • Boundary slope
  • Cabling
  • colored Jones polynomial
  • Connected sum
  • Graph knot
  • Jones slope
  • Slope conjecture
  • Strong slope conjecture

ASJC Scopus subject areas

  • Mathematics(all)


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