The slope conjecture for graph knots

Kimihiko Motegi, Toshie Takata

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

The slope conjecture proposed by Garoufalidis asserts that the Jones slopes given by the sequence of degrees of the coloured Jones polynomials are boundary slopes. We verify the slope conjecture for graph knots, i.e. knots whose Gromov volume vanish.

Original languageEnglish
Pages (from-to)383-392
Number of pages10
JournalMathematical Proceedings of the Cambridge Philosophical Society
Volume162
Issue number3
DOIs
Publication statusPublished - May 1 2017

Fingerprint

Knot
Slope
Graph in graph theory
Colored Jones Polynomial
Vanish
Verify

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

Cite this

The slope conjecture for graph knots. / Motegi, Kimihiko; Takata, Toshie.

In: Mathematical Proceedings of the Cambridge Philosophical Society, Vol. 162, No. 3, 01.05.2017, p. 383-392.

Research output: Contribution to journalArticle

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